{
"cells": [
{
"cell_type": "markdown",
"id": "f3d89c8f",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"
GEOG 172: INTERMEDIATE GEOGRAPHICAL ANALYSIS
\n",
" Evgeny Noi
\n",
" Lecture 15: Linear Regression
"
]
},
{
"cell_type": "markdown",
"id": "1b6aa379",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Correction \n",
"\n",
"#### The optimal number of clusters on this plot is 3! (The closer to +1 the better). \n",
"\n",
""
]
},
{
"cell_type": "markdown",
"id": "4a7431cf",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Announcements \n",
"\n",
"* No labs this week (STRIKE) \n",
"* Extended office hours (M:2-6pm, W:1-3pm) \n",
"* Interim report due **W: midnight**"
]
},
{
"cell_type": "markdown",
"id": "ed375f99",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Correlation Refresher \n",
"\n",
"* Correlation - is linear relationship between two variables (bivariate). \n",
"* Standardized measure (+1 / -1)\n",
"* Slope of the line between scatter points on a scatter plot "
]
},
{
"cell_type": "markdown",
"id": "9215fc82",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Different Ways to Understand Regression \n",
"\n",
"* Fancy correlation \n",
"* Optimization problem \n",
"* statistical framework for modeling "
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "fef0b837",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Saved under regression_db.geojson\n"
]
}
],
"source": [
"!python -m wget https://geographicdata.science/book/_downloads/dcd429d1761a2d0efdbc4532e141ba14/regression_db.geojson"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "67b74388",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import geopandas as gpd\n",
"import matplotlib.pyplot as plt \n",
"import seaborn as sns\n",
"import pingouin as pg"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "0f537fa2",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(6110, 20)\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" accommodates | \n",
" bathrooms | \n",
" bedrooms | \n",
" beds | \n",
" neighborhood | \n",
" pool | \n",
" d2balboa | \n",
" coastal | \n",
" price | \n",
" log_price | \n",
" id | \n",
" pg_Apartment | \n",
" pg_Condominium | \n",
" pg_House | \n",
" pg_Other | \n",
" pg_Townhouse | \n",
" rt_Entire_home/apt | \n",
" rt_Private_room | \n",
" rt_Shared_room | \n",
" geometry | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 5 | \n",
" 2.0 | \n",
" 2.0 | \n",
" 2.0 | \n",
" North Hills | \n",
" 0 | \n",
" 2.972077 | \n",
" 0 | \n",
" 425.0 | \n",
" 6.052089 | \n",
" 6 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" POINT (-117.12971 32.75399) | \n",
"
\n",
" \n",
" 1 | \n",
" 6 | \n",
" 1.0 | \n",
" 2.0 | \n",
" 4.0 | \n",
" Mission Bay | \n",
" 0 | \n",
" 11.501385 | \n",
" 1 | \n",
" 205.0 | \n",
" 5.323010 | \n",
" 5570 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" POINT (-117.25253 32.78421) | \n",
"
\n",
" \n",
" 2 | \n",
" 2 | \n",
" 1.0 | \n",
" 1.0 | \n",
" 1.0 | \n",
" North Hills | \n",
" 0 | \n",
" 2.493893 | \n",
" 0 | \n",
" 99.0 | \n",
" 4.595120 | \n",
" 9553 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" POINT (-117.14121 32.75327) | \n",
"
\n",
" \n",
" 3 | \n",
" 2 | \n",
" 1.0 | \n",
" 1.0 | \n",
" 1.0 | \n",
" Mira Mesa | \n",
" 0 | \n",
" 22.293757 | \n",
" 0 | \n",
" 72.0 | \n",
" 4.276666 | \n",
" 14668 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" POINT (-117.15269 32.93110) | \n",
"
\n",
" \n",
" 4 | \n",
" 2 | \n",
" 1.0 | \n",
" 1.0 | \n",
" 1.0 | \n",
" Roseville | \n",
" 0 | \n",
" 6.829451 | \n",
" 0 | \n",
" 55.0 | \n",
" 4.007333 | \n",
" 38245 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
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" POINT (-117.21870 32.74202) | \n",
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\n",
" \n",
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\n",
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"
],
"text/plain": [
" accommodates bathrooms bedrooms beds neighborhood pool d2balboa \\\n",
"0 5 2.0 2.0 2.0 North Hills 0 2.972077 \n",
"1 6 1.0 2.0 4.0 Mission Bay 0 11.501385 \n",
"2 2 1.0 1.0 1.0 North Hills 0 2.493893 \n",
"3 2 1.0 1.0 1.0 Mira Mesa 0 22.293757 \n",
"4 2 1.0 1.0 1.0 Roseville 0 6.829451 \n",
"\n",
" coastal price log_price id pg_Apartment pg_Condominium pg_House \\\n",
"0 0 425.0 6.052089 6 0 0 1 \n",
"1 1 205.0 5.323010 5570 0 1 0 \n",
"2 0 99.0 4.595120 9553 1 0 0 \n",
"3 0 72.0 4.276666 14668 0 0 1 \n",
"4 0 55.0 4.007333 38245 0 0 1 \n",
"\n",
" pg_Other pg_Townhouse rt_Entire_home/apt rt_Private_room \\\n",
"0 0 0 1 0 \n",
"1 0 0 1 0 \n",
"2 0 0 0 1 \n",
"3 0 0 0 1 \n",
"4 0 0 0 1 \n",
"\n",
" rt_Shared_room geometry \n",
"0 0 POINT (-117.12971 32.75399) \n",
"1 0 POINT (-117.25253 32.78421) \n",
"2 0 POINT (-117.14121 32.75327) \n",
"3 0 POINT (-117.15269 32.93110) \n",
"4 0 POINT (-117.21870 32.74202) "
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"db = gpd.read_file(\"regression_db.geojson\")\n",
"print(db.shape) \n",
"db.head()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "4b088c19",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"variable_names = [\n",
" \"accommodates\", # Number of people it accommodates\n",
" \"bathrooms\", # Number of bathrooms\n",
" \"bedrooms\", # Number of bedrooms\n",
" \"beds\", # Number of beds\n",
" # Below are binary variables, 1 True, 0 False\n",
" \"rt_Private_room\", # Room type: private room\n",
" \"rt_Shared_room\", # Room type: shared room\n",
" \"pg_Condominium\", # Property group: condo\n",
" \"pg_House\", # Property group: house\n",
" \"pg_Other\", # Property group: other\n",
" \"pg_Townhouse\", # Property group: townhouse\n",
"]"
]
},
{
"cell_type": "markdown",
"id": "8a1ea884",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# How do we do analysis on this data? \n",
"\n",
"1. Visualize \n",
"2. Run pairwise correlations \n",
"3. Run Global Moran's I (and local if necessary) \n",
"4. Run clustering (to investigate any patterns in multivariate data)\n",
"5. **RUN REGRESSION** (today) "
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "590ddb69",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"fig, ax = plt.subplots(figsize=(7,7))\n",
"sns.heatmap(db.corr(), annot=True, ax=ax, \n",
" fmt=\".1f\", annot_kws={\"size\": 8}, \n",
" cmap='vlag', vmin=db.corr().min().min(), vmax=db.corr().max().max());\n",
"#plt.gcf().subplots_adjust(left=0.15)\n",
"fig.savefig('corr_matrix.png', bbox_inches='tight') \n",
"plt.close()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "8700e31b",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
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U248U/fZ+dApWUhMszY1fiH5aWir37t6mk38XANq190Emi0MWr97uLC2tqN+gEabPeS0S/O/yyqY9lF4HDmDt2rU4OTlx48YNTp48SWJiImfPnsWu5J9FzZo1lbZz585lyJAhBJe6E27cuDEAd+7cYc+ePZw4cUL5BpEff/yRqlWrEhERwcCBAwEoKChg1apVysdIAwYMYNOmTchkMiwsLKhXrx5+fn4cPXqUwYOfRfN69OjB+PHjAQgICGDVqlV4e3srdT/77DPatGmDTCbDxcWFr7/+Gn9/f2bPng1A7dq1uXHjBl999RWjR4/m9u3b7N+/n9OnTyvXvVu7di1169ZVKZ8pU6Yo/3Z3dyc0NJQPPviAlStXYmxsjLW1NRKJBBcXF6XdvXv32LJlC9HR0bi5uQEwbdo0Dhw4wPr165k3bx5RUVH079+fhg0bAuBRzmPxF425izNZpf7JZMfFY67j6w6NrW3Iz0iHkpshgLy0NExsbdUe2z3FuWUrEs+fR15qn/IwsbMnLy1VxTY3ORkzBwdyk54NwBIvXMCubl18V6ykMDeXvNRUzoaGaNU3tbcnL1VVPycpCVMHB5WbhoTz57GrXx+/1aspys0lNyWFvwMDteoDyOLjcXR0VA4On7aN+Lg4Kpe0hafExcfjWjIAAHBzcyOuggFAfGIijvb2GFaq9EzbyYm4hATcSrW/f0pCcgr2NrYq+k529iQkJ+PqqHoDEpeYxKylS4mRJdC6cSN6+flq1TeytKLgyRMotaRPfkYGxlZWinZVgqmDA8WFhXj2H4iRpRU5iQnEHDms0wDYxMaW/PQM1TaamoqJjS155dwgubRuQ8K5szq1UU316+riQlyZ+o2Pj3uuui1NcnIitnb2VCpVDw4OTiQlJuDkVH49p6WmcPrUn8yYNadcm3gd/Y+Li8OtlP+VdfRflpiIo52daht1dCI+IRG3cq4zSSkpHP7rL74J0fyE5GX6r6t+vAb9sq+S1YSRhQUFWVkqfaDgSaZie2amiq2xjQ2e/QchlxeTduumTgEEAAtzY7JyCkofgszsfCzMTcjMzlezt7E0Y2CXBsjlciIfJHL9XoKaTWkSExOws3egUqVnZeTo6ExCYoLyRuxV5XXOxX1ZvLKR33v37jF06FA8PDywsrLC3V3xOCQqKopLly7RtGlT5cC3LJcuXcLf31/jb5GRkRgaGqosoGxvb4+XlxeRkZHKbebm5ir5U87OztSoUUMl6uns7KwWgW3UqJHK74By4Fh629P9IiMjadeunYpGu3btuHPnDkVFRUp/S0eu69SpozZ57ejRo3Tp0oXKlStjaWnJyJEjSU5OJisrS2M5AFy4cAG5XE7t2rWxsLBQfo4fP65MMZk0aRJz5syhXbt2BAYGcuXKlXL1APLy8sjIyFD5FOjwz1ojpa+KOkTsVPct872C3Q2MjHBo0gTZ32fKN9KmrwGrGjWQurlx/KOJHJ/4IcnXr1Fn9Gjd5MuspajJfSt3d6Rubhx7/32Ojh9P8tWr1HvnHZ30FaJlVCtYv7F0jmNF6zxqsgeQ61Jgz0HZ8ihP39XRgbWhIexcuoSCwkL+OHdexyOU0dNQARKDSli5exD1235uhq+lICODqm901VFfQzlqaaOOTZsiO31aZ321Oiin3lTrVmd5jcfQ1jGys7NYOC+A3n0G4uFZ67m0dfK/QkW1HXXSB3iSlc3UoBBGDhhAnVKBlorl9eu/rvr80/LRgZzERG79sIF7O7YR9dt+7OrVx8pTt/LR5FF5l/nE1Gw27r3Izwevsf/EHRp4OuNZpfynJEo9dK9jwevFKzv47dWrF8nJyXz//fecOXNGmc+bn5+PmZlZhftW9Ht5jV8ul6tcTIzKTIqRSCQatxWXGdiVtnmqp2nb0/3KHresj0//1jYxpEePHjRo0IAdO3Zw/vx5VqxYAaCSylGW4uJiKlWqxPnz57l06ZLyExkZyTffKPLf3n33Xe7fv8+IESO4evUqLVq0YNmyZeVqzp8/H2tra5VPRGx0ufblkR0vQ1oqYmHu4qzzRK789DSMra3B4FnzNrG2KTfqa9+oMdkymU4T0QDyUpIxsbNDUkrf1N6enCTVx+5uHX1IuXGDwuxskMuJ/eMP7OrV06qfm5yMqb29qn6ZqDJAZV9fUq5ff6Z//Dh29euXq/vL3r0MGjKEQUOGcPrvv0lISKCwsBBQtLN4mQwXV/WIiKuLC7GlHqfGxcXhWkEE18XRkYSkRApLcv/kcjmyhERcnZy0nrsuONnbkZiaqqKfmJKCk719ufuYm5rSqVUrDp46pVW/IDMDY0tLlf/ExpZW5GdkqNjlZ6STGfVIESUGUm5cx1xD+WkiLy0VExsb1TZqY0temuY26tCkCdkymdqEuPJwdnFBpqF+Xcv45+LiWqZuYyus2+NHD/Lpx+/z6cfvc+XyRZKTE5XzHuRyOUlJiTg4aq7nnJxs5oV8QXPv1vTsXfGC9i46+u/q6qryqD82tmL/n+Ls6EhCUpJqG01KxMVJPbUoKzubSbNn07F1K4b166tV+2X4r6u+i6tq/cbGxqo8/SuPgidPFJM4S/9PtLBUtvWnFBcUUJyviNIWZmWRdvcO0gqiql7VHRjUpQGDujSgirM1UjNjlQGvhZkxT7Lz1P0pLCK/QFFXWTn53IlKxtVRPQXj8KHfmDjhHSZOeIdLF8+TlJRIUdGzMkpKSsCpnPb5KvF0bs7L+LyuvJKD3+TkZCIjI5k1axb+/v7UrVuX1FIDl0aNGnHp0iVSynk82KhRIw4fPqzxt3r16lFYWKgyOS45OZnbt2+rpRK8DOrVq6f2DuuTJ09Su3ZtKlWqRN26dSksLFSZJHfr1i3S0tKU38+dO0dhYSGLFy+mdevW1K5dW+WCB4o8u6IyExGaNm1KUVERCQkJ1KxZU+VT+gJZtWpV3n//fXbu3Mknn3zC999/X+75zJgxg/T0dJVPH7cqz10u0UePU9mnIyZ2ijxdz359eHzwkE77Fjx5QlZsDE7NmgNg36gReampFaQ8tCThOaK++RkZZD58iGv79sr9c5IS1QanOQkJ2NVvgKTk0apjs2Y8eaz9RiA/I4PMBw9w69BBod+qFTkJCWp50jkyGfYNSuk3b05mBROuevXsybatW9m2dStjR4+mjpcXv5ZMXjx0+DBurq5qKQ+gyAc+cvQoycnJyOVyft6+na5dy49w2tna4lWzJvtK6uvwH3/i6uL8QlIeAGytrKhVvRoHTyoGssfPncPFwUEt5SFG9mxw8DTq61m1qlb9wuxssmUy7Oo3AMDGqw75GekqKQ8AqZGRSF1dMTBW5ChaeXiQk1Dxo9inFDx5wpOYaJxKnug4NG5CbkpKuSkPzq1aE/8cUV97OzuV+j14+BBurm5q9dvF358jR48o63bb9u10q6Buffy68FXYt3wV9i19+g3G3b0mfx5XXGvPnPoTJydnjSkPuTk5zAuZSeOmzRkwaLjO/u996v+hQ1R2U/e/s78/R44cIalU2+xegf9PsbOxwcvTk/1HjgBw5K8TuDk5q6U8ZOfkMGl2AG2aN+fdoeoTEv+//NdVv4u/P4dL6W/TUb8oN4fc5CRsansBYOXhSUFmhlrKg6G5ufJvAyMjLKvXUAsClObWoyTlhLWLN+NISsumdnVFv/WoYkdGdr7GlAdz02cBJCNDA6q72ZCUpp5e5N+5K8tXrmX5yrUMHDQUT8+aHDl8EIATfx3HydnllU95ELwcXsmcX1tbW+zt7Vm9ejWurq5ERUXx+eefK39/++23mTdvHn369GH+/Pm4urpy8eJF3NzcaNOmDYGBgfj7++Pp6cmQIUMoLCxk//79TJ8+nVq1atG7d2/GjRvHd999h6WlJZ9//jmVK1emd+/eL/1cP/nkE7y9vQkNDWXw4MGcOnWK5cuXs3KlYtknLy8vunXrxrhx41i9ejWGhoZMmTJFJbrt6elJYWEhy5Yto1evXpw4cYJvv/1W5Tg1atTgyZMnHD58mMaNG2Nubk7t2rUZNmwYI0eOZPHixTRt2pSkpCSOHDlCw4YN6dGjB1OmTKF79+7Url2b1NRUjhw5UuFNgomJCSYmJirbjAxU77GaTZuKW8f2mNrZ4bNsCYXZOewfOIQWMz8j9s+/iP3zBFmxsVxfs5ZO361CYmBAwvnz3N+zV+dyvbf9Z2oOfpsq/v4U5eZxe+tmAGoOHETK9euk3LgOKCK2FpWrELlO+9JRpbmxbi0Nxr+P+1u9KczJ4dq3qwCo9+44Ei+cJ/HCBaIO/o60shttFyykuLCQvLQ0bqxdo5P+9dWrafjhh3j07UthTg5XSyL59cePJ+HcORLPn+fRb78hrVKFdosWIS8sJC81lesV3JiUZfYXXzA7MJA169ZhIZUSGvIsHzkoJARfHx98fXyoUqUKH7z/PqPGjKFYLqeltzd9tfSVLz7+mMCFX7Ju82akUikhnykmX4YsWoxP2zb4tG1Lfn4+b40YSX5BAU+ysug2eAhvdunMR+++q9X3T0aPYv73a/nhl71IzcyYMU6xz5dr19GuaVPaNWvKpZs3+fm33zEwMKCoqIim9eoy8q23dCqbqN/2U71HT1zatKUoL59H+34BoFq3HqTfvUP63TsUZGYQf+okXiNGKZayy8wk6rf9OukD3N32E7WHDqNq5zcoys3l9uYfAKg1+G2Sr11V5k6a2jtgUaUqN75/vuWXZn8xi9mBAaxZtxapVMqckFAAAkOC8fXxwc/Ht6RuP2DkmDEUy4tL6raPzsd474PJrFi6iF3bt2Bmbs6Hkz5V/vbtiq9p4d2GFi3bsG/vLu7euUVubi5/nz4BQJu2Hek3sPzVSQJmzWJWQABr1ir8nxta4n9wif++vlStUoUJH5T4X1xMK29v+vbRzf8ZkyYSsjiM8J+2ITU3J/CTqQDMWfINHVq3wqd1a7ZG7Ob6rdvk5OZy9ORJADq3b8/Yt4do1de3/4El+t+X6M8r0Q8IDsavlP6HH3zAiDFjkBcr6refjvoxx49Rxc8fx6bNKc7PJ/qo4ibHzcePzIcPyHz0ECt3T+zqN0BeXIzEwICM+3dJuxWpRfkZx88/oJO3B83rupFfUMThv+8rf/Nt4c7D2FQexqbhUcWOBp5OFMvlGEgk3ItO4eaDiidNA3w06RO+XryAn376EXNzcz75ZIbytyVhX9K6dTtat2lHQX4+Y8cOpaCggOysLEYMH0CnTm8wZqz6Kj4vA4nBKxmX/E8hkb+iSTCHDh1i0qRJ3L9/Hy8vL5YuXYqvry+7du2iT58+PHr0iE8++YSDBw9SWFhIvXr1WLFiBS1btgRg586dhIaGcuPGDaysrOjYsSM7duwAFEudTZ48mT179pCfn0/Hjh1ZtmwZtWopctDCw8OZMmWKSnQ1KCiIiIgILl26pNw2evRo0tLSiChZOqZGjRpMmTJFZfKZRCJR+gzw8OFD3N3duXjxIk2aNAEUS50FBARw584dXF1d+eijj5SrMYBicsO7777LoUOHcHZ2Zs6cOcyePVvlWGFhYXz11VekpaXRsWNH5aA2NTVVmR/8wQcf8PPPP5OcnExgYCBBQUEUFBQwZ84cNm7cSExMDPb29rRp04bg4GAaNmzIRx99xP79+4mOjsbKyopu3boRFhaGfQWPmMuyrXV7nW3/CZXbt9Srflacbo+a/ynFBYV61fddr74M2IukKFX7Chb/hsxo3ZcP+6fEHj+mV319t6GWcxfoVf/mI+0DjX9D3Rrq6QYvktx49VVMXiSmLupPTF4k+n44fWujfq8RAH/YtdBu9C/o6l1Nu9G/wNP95UWMI7roPnfg39LnYPkr9/yXeWUHv4L/DmLwWzFi8FsxYvCrHTH4rRgx+K0YMfjVzksd/Hbt9tKO1UfHpQ3/a4jYukAgEAgEAoHgteGVzPkVCAQCgUAgeB15nVdheFmIyK9AIBAIBAKB4LVBRH4FAoFAIBAIXhHEag/6R5SwQCAQCAQCgeC1QQx+BQKBQCAQCASvDSLtQSAQCAQCgeAVQUx40z8i8isQCAQCgUAgeG0QkV+BQCAQCASCVwUDEfnVNyLyKxAIBAKBQCB4bRCRX4He0ffrh2P++luv+k5N6ulV39TOTq/6lQoL9KqfnZGuV31TW1u96gMUPMnSq765i7Ne9fVNUbH8/9uFf4Wkkn7/1ek9Tlek31egOzbX76uHARpJ9Hudc7Kz0Kv+y0QiEXFJfSNKWCAQCAQCgUDw2iAivwKBQCAQCASvCBKR86t3RORXIBAIBAKBQPDaICK/AoFAIBAIBK8I4vXG+keUsEAgEAgEAoHgtUFEfgUCgUAgEAheFcQb3vSOiPwKBAKBQCAQCF4bxOBXA76+vkyZMuV/RlcgEAgEAsF/A4mB5KV9XlfE4FcPHDt2DIlEQlpa2v+3KwKBQCAQCASCUoic31ecgoICjIyM/r/deOGYOjhQa8jbGEmlFObkcuenLeTIZCo2js1b4NbRR/ndxMaajPv3ubkhvELtplMn49ahPVJXVw4MHUHG/Qca7dx7vUmdkcORSAyQnTvPha8WIy8q0sl/Mycn6owag5GFBYU52dzcEE52XJyanUe//tg3aIi8uJiCrCxu/7CRnMRErfqm9vZ4DhiEodScopxc7u34mZyEBBUbh6bNcG3XXvnd2NqazIcPuP3jD1r1H0VFMTM4hLS0NCwtLZkbMBtPDw8Vm5jYWL4ICeXmrVtUq1qVbRs3aNV9yuPYWEKWLic9IwMLqZTZkybiXrWqis25K1dZ9cOPZOfkYCCR0KGlN+OHDUWiQ75bVGwsIUu+IS0jE0uplNmTJ+FRrYz+5Sus3LSJrJwcDCQGdGzVkveHD9NJ38TOHs/+/TE0l1KUm8v9ndvV6s2hSRNc2pYqfysrMh895M6WzVr1AUxsbanx5lsYmptRlJvHw19/ITc5Sc3O1NGRal26YmguRSKREHP8KGm3b2nVfxT1iFkBAco6Dg0OxtPDU6PtzohdrFu/nmK5nFbeLflixgwMDbX/e4iLjWHV8q/IzMhAKpXy/sRpVKlaXc3u2tVLbP1xHbk5OUgkElp4t2HQ0NEV1sWjR4/4opT/c4KD8fRU93/nrl2sfep7y5bM0tH3qJgYgr76irT0DCwspARNm4ZHdVXfz168xPJ168gu8dunbRsmjK7Y79L+zyzl/9xy/N9Ryv/Wz+H/o6goZgYFkZaWjqWFBXODAjX34aBgRR+uVo1tmzZq1X3K4/h45n23mvTMTCzMpcwcP44alSur2Fy7c4ev1yuuC4VFRTSsXZvJI4djrOP/LFl8DGu/DeNJZgbm5lLGjv8YtyrV1Ozu3onkh3UrASgqKqKWVz3eHjle6//GqKgogoKDSEtLw8LSgqCAIDzKlNFTInZHsGHjBoqLi2np3ZLPpn+mUz3oA/GGN/0jSrgcCgsLmThxIjY2Ntjb2zNr1izkcsUrPn/44QdatGiBpaUlLi4uDB06lISSgcnDhw/x8/MDwNbWFolEwujRo5W6xcXFTJ8+HTs7O1xcXAgKClI5rkQi4dtvv6V3795IpVLmzJkDwKpVq/D09MTY2BgvLy82bdqksl9UVBS9e/fGwsICKysrBg0ahKzUYDIoKIgmTZqwbt06qlWrhoWFBR988AFFRUV8+eWXuLi44OTkxNy5c1V0g4KCqFatGiYmJri5uTFp0qQXUr6eAwYiO32aCwsXEHPsCDUHDlazSTx/jsthi5Wf/IxMEi9c0Kr9+Mgxjrw3gSwNg9GnSF1dafDeOI6Mn8C+AYMxtbfDvVdPnf2vPXQ4cX/9wd+Bs3n8+294jRipZmPfuDE2tWpzbk4o5+aEkHYzEvc+fXXSd+/Tj4Szf3P568XE/nkcj3791WySLl7g6vKlyk9BZiZJly7ppB88fwED+/bh1x3bGTtiOAFz5qrZWEilTHp/PAtDQ3TSLM3CVd/R543ObFu5nOF9+zBv+Uo1G0sLKSFTp7Bl2TesW/QlF6/f4Pc//9JJf8GKVfTp+gbbv13J8H59mbtsuQZ9C0KnfcJPK5YT/vUiLly7zu9//KGTvnvv3iScO8uVb8KI++sP3Pv0U7NJunSJayuXKz8FTzJJunxZJ32Aat16kHT5ItdXf0v8mVNU7/Gmmo3E0JCa/QYS88cxbqz5jutrvuPJ48c66YfMmcuAfv35JWI3o0eNIjA4WKNddEwMK1auZMO69fy6ew9JyUnsiojQ6RhrvvsG/849CFu+jl59BrF6ZZhGO6nUgo+mzGDRN98z98vlRN64ysm/jlbs/9y5DOjfn727dzNm1CgCNPgfHRPD8pUr2bB+Pfv27CE5KYmdOvo+b8k39O3Rg53r1zFy4CBCv1b33dLSgrkzZ/Dzmu/ZtGI5F65c5bejFfv9lOC5cxnYvz+/7t7NWC3+b1y/nv179pD0HP4Hz5vPwL59+XXnDsaOHElA6Bw1GwuplEkTPmDhXPXftLFo3Xre8vNj86KvGNqzBwu/X6NmU7NaNVaHBLFu3hzC588lLTODPUd0Kx+AjWtX0NGvG/MWr6Zbz/6s//4bjXZVq7kzKzSMoPnLCF6wnMyMdI4f3q9Vf978efTt25edO3YycsRIQueEarSLiYnh2+++Zc3qNUTsjCApOYnde3brfB6C/z3E4LccNmzYgKGhIWfOnGHp0qWEhYWxZo2i8+fn5xMaGsrly5eJiIjgwYMHygFu1apV2bFjBwC3bt0iLi6Ob775RkVXKpVy5swZvvzyS0JCQjh48KDKsQMDA+nduzdXr15l7Nix7Nq1i8mTJ/PJJ59w7do1xo8fz5gxYzhachGWy+X06dOHlJQUjh8/zsGDB7l37x6DB6sOKO/du8f+/fs5cOAAW7ZsYd26dbz55ptER0dz/PhxFi5cyKxZszh9+jQA27dvJywsjO+++447d+4QERFBw4YN/3XZGllYYFG5CgkXzgOQfOUKpnZ2mNjalruPRdVqGFlakHL9mlb9pEuXtUZXq3TyJeb4H+SlpAJwb2cE1d7orJv/lpZYVquG7MwZABIvXMDM3gFTe3s1WwNDQwyMFNGDSmZm5KWmatU3lEqRurmReOkiACnXrmFia4eJTfnlI61SBSMLC1Ijb2jVT05JIfLWLXp26wZAl06diI6NJSY2VsXO2tqaZk2aYGZmplWzNClp6dy6f5+uPoqovV+b1sQmJBBXJnLt5eFBZRcXAEyMjanlXoPYMtF/zfpp3Lp/j26+vgB0atuGWJlMbV8vT1X92u7uxMRr1zeUSpG6uikHsinXr2Nia4uxjU25+0grV8FIakHazUit+gCG5uaYO7uQfO0qAGm3bmJibYOxtbWKnV29BjyJiSYrOlqxQS6nMCdbq35ySgo3b0byZo8eAHTx70yMhjoGOHjoEJ38OmFvb49EImHQgAHs/+2A1mOkp6fx8P5d2vv4A9CydXsSEuJJTIhXs3X3qImziysAxsbGVK/hgUymblfa/8jISHo+9b+zZv8PHjpEp06dcCjxfeCAAew/oN33lNQ0bt69S3d/he/+HdoTGx9PbLyqT3Vq1qSKq8JvE2Njant6EB1Xvt8V+a+pj/1+6BD+pfwfNGAA+3TwPzklhcibN+nZvbtC378T0bEx5fdh0+frw6npGdx5+Igu7doC4OPtTVxiEnFlrqumJibK6GhBYSH5+QU6RcUBMtLTePTwHm3aK4JFzVu2IylRRlKieh81MTFVHqeosJD8/Hyt+aopKSncvHWT7t0UZeTfyZ/Y2FhiNfSBw0cO4+frp+wD/fv157fff9PpPPSCgeTlfV5TRNpDOVStWpWwsDAkEgleXl5cvXqVsLAwxo0bx9ixY5V2Hh4eLF26lJYtW/LkyRMsLCyws7MDwMnJCZsy/zAbNWpEYGAgALVq1WL58uUcPnyYLl26KG2GDh2qcoyhQ4cyevRoJkyYAMDUqVM5ffo0ixYtws/Pj0OHDnHlyhUePHhA1ZJHy5s2baJ+/fqcPXsWb29vQBF1XrduHZaWltSrVw8/Pz9u3brFvn37MDAwwMvLi4ULF3Ls2DFat25NVFQULi4udO7cGSMjI6pVq0bLli3/ddkaW9uQn5EOxcXKbXlpaZjY2pY7OHRu2YrE8+eRl9rn32Du4kxWqX902XHxmDs767Svia0teelpKr7kpqZgYmtHbnKyclvylSvY1Pai7ZeLKMrNJS8tjUtfL9Kub21DfmaGSvnkp6VhbGNDXprm8nFq4U3ixYs6lU+8TIajo4Pyn4lEIsHVxYW4eBmV3dy07q+NhOQkHOzsMKxUSanv7OBAfGIirk5OGvdJTk3l6KnTfD3rC636siR1fRdHR2SJSbiVU4fJqakcOXmSsMDZWvWNra0pyMxULf/0dEW9lJPH79i8OUmXL+ncPo0trSh4kgklT5MA8jMyMLayIj89XbnNzMEBeVERngMGYWxpRU6ijOjDh7UOgGXx8Tg6OqrXcVycWh3Hx8fhWjLAA3BzcyMuXocBXlIitnb2VCpVDw4OjiQlJuLo5FLufmmpKZw5/ReffaE5CqfwSTf/4+LicCvle2UdfZclJuJob6/aRp0ciU9IxM1Fs+9JKSkc+fMvviknevhP/I/X4H+8Dv4r+nAZfWcX4uLjX0wfTknG3sZGpXyc7O2RJSfj6uioYhuXmMgXYd8QI5PRuklj3urkp9MxUlKSsLGxU2k/9vaOJCcl4uCo3o+TEmUs/3oOCbI4GjXxxqdTtwr1ZRrKyNnFmfj4eNzU+kA8LqXq3c3VDZkON8qC/11E5LccWrdurXIH26ZNG+7cuUNRUREXL16kd+/eVK9eHUtLS3xLIlBRUVFadRs1aqTy3dXVVZky8ZQWLVqofI+MjKRdu3Yq29q1a0dkZKTy96pVqyoHvgD16tXDxsZGaQNQo0YNLC0tld+dnZ2pV68eBqXeJuPs7Kz0Z+DAgeTk5ODh4cG4cePYtWsXhYWFFZ5fXl4eGRkZKp98TfvIy3yv4AbUwMgIhyZNkP19psJjPzelBh7Pva5iWf81nIBl1WqYO7tw6vPpnPx8Oqm3blJryNv/TF9L+dg3bETi+bO6aQOSMoJyudoJ/SvUi7N8/azsbD6dN5/hfXrj5ak5H09N/zn8f5KdzSehcxnRry91NORcakJegb9lMTAywr5BQxLPn9N5n5KDqKKhjiWVDLBy9yDqwH4i168hPyOTqm901Um+bASuojIqbftvmoK2fbOzs/hqfiC9eg/E3aNWhba6+q/iu25uluxXZkMFOz/JymJqQCAjBg6kTq2K/dbkF1RQ/i/I/+dps7rplz2AZn1XR0fWzZvDrhXLKCgs5I+zuvcDtTKqwNbB0Zmg+cv4euUmCgoLOH/2pHb9sp2qggOo9oEXW5bPi0QieWmf1xUx+H1OcnNzeeONN7CwsOCHH37g7Nmz7Nq1C1CkQ2ijbIK+RCKhuEy0SCqVqu2n6UL6dFvpv8uzKe/YFflTtWpVbt26xYoVKzAzM2PChAl07NiRgoKCcs9v/vz5WFtbq3w2/a06KMtPT1M83i016Daxtik36mvfqDHZMpnahLh/Q3a8DGmpiIu5izPZOurnpaZiYmur8gpKU1tb8lJTVOxc2rYl7fYtCnNyQC4n/tRJbGp7adfXUD7GFUQd7Ro0JCcxQW1CXHm4ODsjS0hQ3sjI5XLiZTJcXXSLfGvDyd6BhOQUCksmD8rlcmRJybiUiRgBZOXkMCVkDu29vXm791s66Ts7OJCQnFxGPwlnRwd1/ewcpgQF06GlN0P79NZJPz89HWOrsuVvTV56mkZ7u/r1yUlM1Gkio/IYmRkYW1qqjGCMLa3Iz8hQ8yUz6qEiSgykXL+GtJzI3p69vzBwyGAGDhnM6b/PaK7jUm3+KS4uriqPguPiYnEtJ/r5x7GDfP7JB3z+yQdcu3KBlJQkikrVQ3JyIg4a6hkgJyebBXO+oLl3a958Sz2HXdUnF538d3V1VXnUHxtbvu+lcS55UqDShhITcXHS0Eazs5n0xRd0bN2a4QMq9vt5/XdxVS372NhYlQhkufrOzshkmvqw9n11wcnOnsQU1T6ckJKCs4bUrqeYm5ri37o1B0+WPyg9+edhgmZ8RNCMj7hx7RKpZdpPSnIi9g6a289TTE3NaNmmA2dOHFP7be+vexk6bChDhw3lzN9nkCXIVMpIJpNpLF+Xkqj8U+Li43B+QddDwauJGPyWw9O819Lfa9Wqxc2bN0lKSmLBggV06NCBOnXqqEVujY2NAZSd+t9St25d/vpLdSLQyZMnqVu3LqCI8kZFRfG41ESYGzdukJ6errT5p5iZmfHWW2+xdOlSjh07xqlTp7h69Wq59jNmzCA9PV3lM6Klt4pNwZMnZMXG4NSsOQD2jRqRl5paQcpDSxJecNQ3+uhxKvt0xMROkUfr2a8Pjw8e0mnfgsxMnjyOwrlVKwAcmzUjNzlZJeUBICcxEVuvOkgMFI/1HBo1JktDvllZCrOyyI6NxbFJUwDsGjRQlE95KQ/NW5BwTvdoi72dHXW8vNhbklt48MgRKru5vpDHpQB2NtbUdnfnt+PHATh66jSuTo5qKQ/ZOTl8HBJK66ZNGDto4HPo2+Dl4c6BY8cAOHLyFK5OTmopD9k5ioFv66ZNeWeI+oTK8ijMyiI7LhaHxo0Vx6tfn/y01PJTHpo1J7Ekf13nY2Rnk50gw76BIofexqsOeenpKikPACk3IzF3ccOg5Jpi5eFR7k3OWz178fPWn/h560+MHT2GOl5e/LpvHwAHDx/CzdVNYx138ffnyNEjJCcnI5fL2bZ9O926ao4ud/TtwoLFq1iweBVv9R1MDfea/HX8MAB/n/4LR0dnjSkPuTk5LAj9gkZNWtBv4DCt5aNso0/9P3SIym7q/nf29+fIkSMklfj+8/btdC/H99LY2drgVbMm+w8rfD/851+4OjurpTxk5+Tw0cwvaN28Be8O1+738/rfxd+fw6X836aj/0r9/YpJXwcPH6FyOfX7T7C1tqJW9eocPKEYyB4/exYXBwe1lIcY2bPB5dOor2eZVV1K07aDP0HzlxE0fxk9eg2gWg0PTpVMfDz/9wkcHJw1pjwkyOKUxyksLODC2VNUqeauZtfzzZ5s/nEzm3/czOhRo/Hy8mL/AUUZHT5yGFc3V7WUB4BOnTpx9NhRZR/YsXMHb3R5Q5eiEvyPInJ+y+Hx48dMnTqV8ePHc+HCBZYtW8bixYupVq0axsbGLFu2jPfff59r164RGqqaA1a9enUkEgl79+6lR48emJmZYWFh8Y99+fTTTxk0aBDNmjXD39+fX375hZ07d3LokGKw1rlzZxo1asSwYcNYsmQJhYWFTJgwAR8fH7UUiuchPDycoqIiWrVqhbm5OZs2bcLMzIzqZZYDKo2JiQkmJiYq24w1LBdzb/vP1Bz8NlX8/SnKzeP2VsXyUDUHDiLl+nVSblwHFEt+WVSuQuS6tTr73WzaVNw6tsfUzg6fZUsozM5h/8AhtJj5GbF//kXsnyfIio3l+pq1dPpuFRIDAxLOn+f+nr06H+PWjz9QZ9RoqnXrQVFuDpHh6wHwGj6CpCtXSL5ymZjjxzB3dcU7IJDiwkLy09O5vVn7MmQA9yN24jlgIG6+vhTl5nFv+zYAPPr2JzXyBqklE6tM7OyQVq7MzY3hOvsOEDjjc2YFh/D9+nCkUinzSvLQA+bMxa9jB/w6diQ/P5/u/fqRn19A5pMn+PfsSc/u3fn4ww+16n/2wXjmLF3Ohu07kZqbM3vSRADmrVhJB29vOrT0ZtveX7lx5y65uXkcP624uenUtg2jBw7Qqv/5hAmEfLOU8J93IDU3I3DKZADmLltOh5Yt6diqJT/9spfrd+6Qk5fLsZKbWf927Rijw0D7wZ7dePTtj1tHX4ry8ri/czsA7r37knorkrSbNwEwsbVD6laZWz9sqkhOI48O7KPGm71wadOWorx8Hv66B4Dq3d8k7c5t0u/eoSAjg/jTJ6kzYjRyeTEFmZk8OrBPJ/3ZX8xidmAAa9atVawcE/LsOhUYEoyvjw9+Pr5UqVKFD97/gJFjxlAsL6altzd9e/fR6Rjvjp/Et8sXE7FzK2bm5nwwcZryt9Urw2jm3ZoW3m3Y/+su7t29RV5eLufOnACgVZsO9B0wtFztgFmzmBUQwJq1Cv/nllxnA4NLfPf1pWqVKkz4oMT34mJaeXvTt49uvs+cPIngRYtZv2UrUnNzgj5V+B76dRgd27TGp00btuzaxfVbt8jNzeXYCYXf/h078M7Q8v1+SmCJ/9+X+D+vxP+A4GD8Svn/4QcfMGLMGOTFirLvp6P/gTNnqPbhoJI+HDpH0Yd9fBR9uE9f8vPzFX24x5v07NGdjydO1Ko/bewY5q9ezaY9e5CamTFz/HsALPx+Le2aNaV982ZcjLzJzwcOYGBgQFFRMc3q1WWkjk9YAEaOncja78LYt2cbpmbmvPP+x8rfwr9fSpNmrWjSvBW3Iq/y+/4IDAwMKC4qpk79RvTqM0Sr/swZMwkODmb9+vVIpVKCAoOUv4XOCaVjx474dPShSuUqjH9vPO+Mewd5sZwWLVrQR8c+oA9KP1UU6AeJ/P87ueUVxNfXl/r161NcXMzmzZupVKkS48ePZ968eUgkErZs2cLMmTOJi4ujWbNmzJgxg7feeouLFy/SpEkTAEJDQ1m5ciUymYyRI0cSHh6Or68vTZo0YcmSJcpj9enTBxsbG8LDwwFF2sGuXbvoU+YCuGrVKhYtWsTjx49xd3dn1qxZjBgxQvl7VFQUH330EYcPH8bAwIBu3bqxbNkynEuiYUFBQURERHCp1FJYo0ePJi0tjYhSS+uU9jEiIoIFCxYQGRlJUVERDRs2ZM6cOfiXzJDWlRPTpj6X/fMS89ffetV3alJPr/qmJRMk9UXzzz7Xq35mTLRe9Q1KJsTok1s/6HZT8k8xlJrrVb/BRx9rN/oXXH+gW0rNP6WBh+aJkC+KvET9+m/qqF//Kap4rsW/JUXHVUr+DXck+r3ONa71YlI+ysPS2lK70Qvi92Hab65eFG/8qNu65P81xOBXoHfE4LdixOC3YsTgVzti8FsxYvBbMWLwq52XOvh9jhSbf8sbP/z40o71KiFi6wKBQCAQCASC1waR8ysQCAQCgUDwiiByfvWPKGGBQCAQCAQCwWuDiPwKBAKBQCAQvCK8zi+feFmIyK9AIBAIBAKB4LVBRH4FAoFAIBAIXhEkBiLyq29E5FcgEAgEAoFA8NogIr8CgUAgEAgErwoSEZfUN6KEBQKBQCAQCASvDSLyKxAIBAKBQPCKIHJ+9Y8Y/Ar0TlZcvF719f364YRLN/Sq79Cgtl71MTLWr76eKcjJ0fsxKpma6FW/ICNTr/py9PuW+qycAr3qFxXr1//sBJle9Q3tHfWrr+dXfOcmJ+tVHyDNVKpX/Zw8/bbRl/dyY8HLQAx+BQKBQCAQCF4RJCLnV++IEhYIBAKBQCAQvDaIyK9AIBAIBALBq4LI+dU7IvIrEAgEAoFAIHhtEINfgUAgEAgEAsFrgxj8CgQCgUAgELwiSCSSl/Z5XlauXIm7uzumpqY0b96cP//8s1zb0aNHazxm/fr1lTbh4eEabXJzc/9R2emKGPwKBAKBQCAQCCrkp59+YsqUKXzxxRdcvHiRDh060L17d6KiojTaf/PNN8TFxSk/jx8/xs7OjoEDB6rYWVlZqdjFxcVhamqq13MRg9/nwNfXlylTprxQzfDwcGxsbF6opkAgEAgEgv9NJAYGL+3zPHz99de88847vPvuu9StW5clS5ZQtWpVVq1apdHe2toaFxcX5efcuXOkpqYyZswY1fOVSFTsXFxc/nHZ6YoY/AoEAoFAIBC8huTl5ZGRkaHyycvLU7PLz8/n/PnzvPHGGyrb33jjDU6ePKnTsdauXUvnzp2pXr26yvYnT55QvXp1qlSpQs+ePbl48eI/PyEdEUudveIUFBRgZGT0/+3GC8fc2YUG77+PkaUlhdnZXPvuW7JiYtTsar89FIcmTZAXF1PwJJPra9aQI9P+tiYzJyfqjBqDkYUFhTnZ3NwQTnZcnJqdR7/+2DdoqNDPyuL2DxvJSUysULvp1Mm4dWiP1NWVA0NHkHH/gUY7915vUmfkcCQSA2TnznPhq8XIi4q0+v7U/3pj31X6f2PdOrLjYtXsPAcMxL5hI5AXU/DkCTc3biAnIUGr/qNHj5gZEEBaWhqWlpbMDQ7G09NTzW7Hrl2sXb+eYrmc1i1bMmvGDAwNtV82HsfGErJ0OekZGVhIpcyeNBH3qlVVbM5ducqqH34kOycHA4mEDi29GT9sqE55aI/j4pi7chVpmZlYmkuZOeF93KtUUbE5f+0a327ZSk5OLhKJhPbeLXhv8CCd9E1s7XB/qzeGZuYU5eXy4Jfd5CYlqdmZOTpRrWs3DKVSJBIJ0UePkHbrplZ9AFN7ezwHDMJQak5RTi73dvysVncOTZvh2q698ruxtTWZDx9w+8cftOo/iopidkAAqSV1HBocjKeHh0bbnRERrC+p51be3szUsZ5l8TGs+y6MJ5kZmJlLGTv+Y9wqV1Ozu3cnkh/WrwSgqKiImrXr8fbI8VqvbY+iopgd+KydhgSVfw67IiJYF74eebGcli29mfl5xefwOD6eed+tJj0zEwtzKTPHj6NG5coqNtfu3OHr9RsAKCwqomHt2kweORxjHa/J+vT/0aMoDX1YXXvHrohSfdhb5z4ck5DIVz9uJj0rCwszM6YNe5vq5UTk8gsKmPDVYkyMjVgx7ROt2k9JlMWyJXw5WU8U7WfIqIm4uFVVs3t47xY7Nq8GoKioEPeadek7+B0MtdTD48ePmTcvhLS0dCwtLZgxYzbu7u5qdnFxccybF8qdO7epUqUqa9as1/kc9MI/yMX9p8yfP5/g4GCVbYGBgQQFBalsS0pKoqioCGdnZ5Xtzs7OxMdrf4trXFwc+/fvZ/PmzSrb69SpQ3h4OA0bNiQjI4NvvvmGdu3acfnyZWrVqvXPTkoHROT3OSksLGTixInY2Nhgb2/PrFmzkMsVr+bMz89n+vTpVK5cGalUSqtWrTh27JjK/uHh4VSrVg1zc3P69u1LcpnXSgYFBdGkSRPWrVuHh4cHJiYmyOVyoqKi6N27NxYWFlhZWTFo0CBkZQaBq1atwtPTE2NjY7y8vNi0aZPK7xKJhO+++46ePXtibm5O3bp1OXXqFHfv3sXX1xepVEqbNm24d++ecp/Lly/j5+eHpaUlVlZWNG/enHPnzv3rcqz3zjtEHz3CiWmf8HDvL9Qf956ajWPz5tjWqcOpmTM4NeNzkq9fp9agwTrp1x46nLi//uDvwNk8/v03vEaMVLOxb9wYm1q1OTcnlHNzQki7GYl7n75atR8fOcaR9yaQpWEw/RSpqysN3hvHkfET2DdgMKb2drj36qmT7wB1Rowi5o/jnJ41k0cH9lN39Gg1G4cmTbCp7cXZkCD+DgokNTISj779ddIPnjuXgf378+vu3YwdNYqAMhc/gOiYGJavXMnG9evZv2cPSUlJ7IyI0El/4arv6PNGZ7atXM7wvn2Yt3ylmo2lhZSQqVPYsuwb1i36kovXb/D7n3/ppP/V92t4y9+frUvCGPpWLxZ8u1pdXyolaNJH/PD1ItbMn8ulG5EcPKFbhKJ6jzdJvHiBa9+uIP7USWq8+ZaajYGhIZ4DBxFz7CjXv1vFte9W8eSx5tw3Tbj36UfC2b+5/PViYv88jkc/9bpLuniBq8uXKj8FmZkkXbqkk37onDn079ePXyIiGDNqFEEa6hgU9bxy5UrC161j7+7dJCUns0vHet60bgUd/boxd9FquvXsT/j332i0q1LNnS9Cwgict4yg+cvJzEzn+JH9WvXnzJ1D/7792LMrgtEjRxEcovkcYmJiWLlqJeFr1/HL7t0kJycTsbvic1i0bj1v+fmxedFXDO3Zg4Xfr1GzqVmtGqtDglg3bw7h8+eSlpnBniNHtfr9MvwPnjuHgf378evuCB368Dr279lNUlKyzn14ybZt9GjbhvWzZjLQ34+vt2wt13b93n3UrVFDJ93SbP/xO1p36MyM0OX4vdGHbRvVrxMAblVrMGXmQj6ZvZhpAWFkZWZw6s/fteovWrSQXr36sGXLNt5+ezgLF87TaCeVmjNu3HgCAjTXz3+ZGTNmkJ6ervKZMWNGufZlgwdyuVyngMLTFM8+ffqobG/dujXDhw+ncePGdOjQgW3btlG7dm2WLVv2j85HV8Tg9znZsGEDhoaGnDlzhqVLlxIWFsaaNYqL5pgxYzhx4gRbt27lypUrDBw4kG7dunHnzh0Azpw5w9ixY5kwYQKXLl3Cz8+POXPmqB3j7t27bNu2jR07dnCp5B9dnz59SElJ4fjx4xw8eJB79+4xePCzgeCuXbuYPHkyn3zyCdeuXWP8+PGMGTOGo0dVL9ShoaGMHDmSS5cuUadOHYYOHcr48eOZMWOGclA7ceJEpf2wYcOoUqUKZ8+e5fz583z++ef/OhJtbGWFZY0axP2lGOjI/v4bM0dHTB0c1GwlRoYYlBzP0MyM3JQUrfpGlpZYVquG7MwZABIvXMDM3gFTe3s1WwNDQwyMFFGQSmZm5KWmatVPunRZa3S4SidfYo7/QV6KQu/ezgiqvdFZq/ZT/y2qV0d2+pTC//PnMXVwLN9/Q6NS/msvn+SUFCIjI+nZowcAXTp3Jjo2lphY1cjy74cO4d+pEw729kgkEgYNGMC+Awe06qekpXPr/n26+vgA4NemNbEJCcSViWp6eXhQuSSSZGJsTC33GsTqENVPTU/n9oOHvNFBERH1bdWSuIQE4hJU66S2uzuVS6IUJsbG1KpRXSd9Q3NzzF1cSb56RXG8m5GY2NhgbG2tYmfXoCFZ0dE8iX6s2CCXU5idrVUfwFAqRermRuIlxeO9lGvXMLG1w8TGttx9pFWqYGRhQWrkDa36ySkp3Lx5kzdL6rizvz8xGuoY4NChQ3Ty88O+pJ4HDhjAgd9+03qMjPQ0Hj28R+t2fgA0925HUqKMpET1MjYxMVVGG4sKCynIz8dAyz/MlJQUInU8h4OHD+FX6hwG9B/A/grOITU9gzsPH9GlXVsAfLy9iUtMIq5MvzY1MVH6XVBYSH5+gc4z5PXpv6IP3yzVh/0r6MN+Zfqw9rpNzczkbnQ0/i2aA9ChcWPik1OIT1a/vly9d4+YpEQ6e7fQqluazIx0oqPu07yV4jrRqFlrUpITSElSf3JlbGxCpUol7aeokIKCfK31kJqawu3bt3jjja4A+Pr6ERcXS5yGoIWVlTWNGjXGzMzsuc5BX7zMnF8TExOsrKxUPiYmJmo+OTg4UKlSJbUob0JCglo0uCxyuZx169YxYsQIjI2NK7Q1MDDA29tbOW7SFyLt4TmpWrUqYWFhSCQSvLy8uHr1KmFhYXTq1IktW7YQHR2Nm5sbANOmTePAgQOsX7+eefPm8c0339C1a1c+//xzAGrXrs3Jkyc5UGZAkZ+fz6ZNm3B0dATg4MGDXLlyhQcPHlC15NHxpk2bqF+/PmfPnsXb25tFixYxevRoJkyYAMDUqVM5ffo0ixYtws/PT6k9ZswYBg0aBMBnn31GmzZtmD17Nl27Ki4QkydPVklGj4qK4tNPP6VOnToAL+QxhImdPXlpqciLi5XbcpOTMXNwUHm0nHjhAnZ16+K7YiWFubnkpaZyNjREu76tLXnpaar6qSmY2NqRWyrSnnzlCja1vWj75SKKcnPJS0vj0teL/vX5AZi7OJNV6iKRHRePuZYLxFNM7ezIT1P1Py8lGVM7exX/ky5fxsarDu2/DlOUT1oqF79cqFU/Pj4eR0dH5T91iUSCq4sLcXFxVC5puwDxcXG4uboqv1d2c9Pp8VZCchIOdnYYVqqk1Hd2cCA+MRFXJyeN+ySnpnL01Gm+nvWFVn1ZcjIOtrZq+rKkJFydHDXrp6Vx7PQZvvr8M636xlbWFGRmQskTHYD8jHSMrazJT09XbjN1cKS4qJCag4ZgbGVFtkxG9OGDOg2ATaxtyM/MgFJ1nJ+WhrGNDXlpmm/AnFp4k3jxokq7KA+Zhjp2cXEhvkwdA8TFx+Naqp7d3NyI06GeU1KSsLGxo1KperCzdyQlOREHR/W2npQoY0XYHBJkcTRs4k3HTt0q1I+XxeOk6Rzi1c8hXsM5VNRWE1KSsbexUWlDTvb2yJKTcXVUbUNxiYl8EfYNMTIZrZs05q1OfpokX6r/uvfh+H/UhxPT0rC3slapWydbWxJSU3Gxt1Pa5eTlsWpnBCHj3iEmUT0tqCLSUpOwLtN+bOwcSE1JxM5B/TqRkpTA+lULSUqMp26DZrTu0KVC/YSEBOztHVTKyNnZGZlMtawFumFsbEzz5s05ePAgffs+e0J68OBBevfuXeG+x48f5+7du7zzzjtajyOXy7l06RINGzb81z5XhIj8PietW7dWueNs06YNd+7c4dy5c8jlcmrXro2FhYXyc/z4cWUaQWRkJG3atFHRK/sdoHr16sqB79P9qlatqhz4AtSrVw8bGxsiIyOVNu3atVPRadeunfL3pzRq1Ej599O7tdKNzNnZmdzcXDIyMgDFIPrdd9+lc+fOLFiwQCUlQhOakufzNeW5ytU3lcWqRg2kbm4c/2gixyd+SPL1a9TR8PhfI2r66lECy6rVMHd24dTn0zn5+XRSb92k1pC3ddPXyYdSTjxnDpdcXvYENPhfrTpSF1dOTJvKiWlTSY2MpPbQYTrpa3p0VY7hMxudlNV207p3VnY2n86bz/A+vfHSkLOo+QBl1Mvzv0T/s4VfMfStXnh5qOf7aUb72UoMDLD28OTR/l+5sWY1BZkZVOvaXUd9DYeooIkYGBlh37ARiefP6q5fthIqKKPS7aGisqxoP8XO5ds6ODoTOG8Zi1dsorCwgAtndUhB0bWd8vznoO675n1cHR1ZN28Ou1Yso6CwkD/OPkfa10v0X7c+/Dx1q/pdk/73u3/hrQ7tcXhRKxZVcN52Dk58MnsxQV+uobCwgKsXz2iVUy+jf+3hy0EieXmf52Dq1KmsWbOGdevWERkZyccff0xUVBTvv/8+oEihGDlSPcVw7dq1tGrVigYNGqj9FhwczG+//cb9+/e5dOkS77zzDpcuXVJq6gsR+X2BVKpUifPnzyvvZJ9iYWEB6P5PRSqVqnwvL6em7HZdcnFKpyw8/U3TtuKS6FJQUBBDhw7l119/Zf/+/QQGBrJ161aVO7/SaEqeH96gASMaPRtg56UkY2Jnh8TAQBnFMrW3J6fMhCK3jj6k3LihjKTF/vEHzaZP13jc0uSlpmJia6uqb2urlhLg0rYtabdvUZiTA0D8qZM0mjhJq74uZMfLkJaKLpi7OJOtwyN3gNyUFEzL+G9iZ0duimp+uGu7dqTeinzm/8kTNJ48Rau+i4sLsoQECgsLMTQ0RC6XEy+TqUVDXFxdiS31GDU2NlanJWic7B1ISE6hsKgIw0qVkMvlyJKScXFUj8pm5eQwJWQO7b29ebu3el6tJpzt7Ukso5+QnIyzhrSZ7JwcPpm/gPYtmjOk55s66ednpGNkaaX4x1DSZ42trMnPSFe1S08n4+FDRZQYSL52lVqDh+p0jLz0NEUahYGBMvprbG1DflqaRnu7Bg3JSUyocDLjL3v3sukHxUS4bt26kaChjl00RLxcXVxU6jkuLg7Xcur55J+HObg/AoCWbXxITVFMgqlUUg8pKYnY2WuOvj/F1NSMlq07cPrkMVq28VE/h5LJfN27diNBpnoOMpkMFxf1c3DRcA4VtVUnO3sSU8q0oZQUnDWkFj3F3NQU/9atOXjyJP5tWmu0eVn+696HXcr04Yp1n+JoY0NiWrpK3SampeFkq5qWc/3+fc5G3uDH334jv6CQJ9nZjJu/gO9nfK5R99ypYxw/9AsATb3bk56aonKMtNRkbO0qbj8mpmY09W7PhTN/0NS7vcpvBw7s46efFLnJnTt3ITFRtYwSEmQ4O+t/Ga3/KoMHDyY5OZmQkBDi4uJo0KAB+/btU67eEBcXp7bmb3p6Ojt27OCbbzTPB0hLS+O9994jPj4ea2trmjZtyh9//EHLli31ei4i8vucnD59Wu17rVq1aNq0KUVFRSQkJFCzZk2Vz9OLTb169TTur4169eoRFRXF48ePldtu3LhBeno6devWBaBu3br89ZfqZKGTJ08qf/831K5dm48//pjff/+dfv36sX59+TNhNSXPD65fT8UmPyODzIcPcW2vuHA5t2xJTlKi2mz6nIQE7Oo3QFJyM+HYrBlPHkdr9bcgM5Mnj6NwbtVKuV9ucrJKygBATmIitl51kBgo9B0aNSZLQz7ePyH66HEq+3TExE7xz8KzXx8eHzyk074FmZlkPo7CubXiqYBj8+bkJiVp9r9OPWX5ODRuwhMNK2aUxd7OjjpeXuzdtw+Ag4cOUdnNTe1RbBd/fw4fOUJScjJyuZxt27fTvSQ9piLsbKyp7e7Ob8ePA3D01GlcnRzVUh6yc3L4OCSU1k2bMHbQQE1SGrG1tqaWew3l5LhjZ/7GxdFRLeUhOzeXT+YtoGWjRozu309n/cLsbHJk8YpVNADbOnXJS09TSXkASI28jtTNDYOSHDZrj5pkJ+h2g1OYlUV2bCyOTZoCYNegAXmpqeWnPDRvQYKWiaa9evZk29atbNu6lbGjR1PHy4tfS+r40OHDuLm6qtUxKHJRjxw9SnJJPf+8fbsyDaosbTv4EzhvGYHzltG91wCqVvfg9AnFvILzZ0/g4OCsMeUhQRZHYWGh4twLC7hw9hRVqqpH4Xv17Mm2LVvZtmUrY0aPxquOjufQyZ+jpc5h+47tdHuj/LZqa21FrerVlRMgj589i4uDg1rKQ4xMpvT7adTXs6r6agQv23/1PnyYym7q2oo+fPS5+7CtpSU1q1Tm8LnzAPx5+TLOdnYqKQ8A330+nU2BAWwKDGDmqJHUcHMtd+AL0KKNL5/MXswnsxfTqVtfKldz5/wZxXXiyoXT2No7akx5SEqMp6joWfu5evE0rlWqq9l169aD9es3sn79RoYNG0GtWrX5/XdFjvOxY0dxcXH9n0h5eFXX+QWYMGECDx8+JC8vj/Pnz9OxY0flb+Hh4WqT/K2trcnOzmbcuHEa9cLCwnj06BF5eXkkJCTw22+/aXwi/qIRkd/n5PHjx0ydOpXx48dz4cIFli1bxuLFi6lduzbDhg1j5MiRLF68mKZNm5KUlMSRI0do2LAhPXr0YNKkSbRt25Yvv/ySPn368Pvvv6vl+2qic+fONGrUiGHDhrFkyRIKCwuZMGECPj4+tGihmGTw6aefMmjQIJo1a4a/vz+//PILO3fu5NAh3QZcmsjJyeHTTz9lwIABuLu7Ex0dzdmzZ+nfv/wVBUxMTNSS5Y3LRMIBbqxbS4Px7+P+Vm8Kc3K49q1ikex6744j8cJ5Ei9cIOrg70gru9F2wUKKCwvJS0vjxlr1GdmauPXjD9QZNZpq3XpQlJtDZLhiwO41fARJV66QfOUyMcePYe7qindAIMWFheSnp3N7s/YlpJpNm4pbx/aY2tnhs2wJhdk57B84hBYzPyP2z7+I/fMEWbGxXF+zlk7frUJiYEDC+fPc37NXJ98Bbm3cSN2xY6nR400Kc3OJXKc47zqjRpN06RJJly8RffQIUldXWgaFIC8qJC8tnVubNuikHzhrFrMCAvh+7VqkUinzQkMBCAgOxs/HBz9fX6pWqcKHH3zAiDFjkBcX09Lbm35lZuqWx2cfjGfO0uVs2L4Tqbk5sycpJlHOW7GSDt7edGjpzba9v3Ljzl1yc/M4flrxCLNT2zaMHjhAq/70ce8yd+W3bIyIQGpmxhcTPgBgwberad+iGe1btODnffu5ce8eOXl5ykfVfq1bMaqf9hU9Hu77FfdevXFt256i/Dwe7NkNQPU3e5J2+zbpd26Tn5FB/MkT1B09VrFUXmYmD/fpXsf3I3biOWAgbr6+FOXmcW/7NgA8+vYnNfIGqTcVKUsmdnZIK1fm5sZwnbUBZn/xBbMDA1mzbh0WUimhIc/y5YNCQvD18cHXx4cqVarwwfvvM2rMGIrlclp6e9NXSw7fU0aOnci61WHs27MNUzNzxo7/WPlb+PdLadKsFU2at+JW5FUOHojAwMCA4qJi6tRrRK8+Q7Sfw8wvCAgKZO16xTmEBD87h+CQEHxKncP7499n9NiSc2jhTR8t5zBt7Bjmr17Npj17kJqZMXO8YsWZhd+vpV2zprRv3oyLkTf5+cABDAwMKCoqplm9uozso1vZ6Nv/wFlfMCsgkO/XrivpwwrtgOCQkj7sU9KH3y/pw/KSPqyb/5MHDWLR5s1sOXgIc1MTPh2meKrx9ZattGnQgDYN1R9hPy8Dho1na/hyDu/fiampOW+PeTbZ+qeNK6nf2JsGjb25d+safxzei8TAgOKiImp6NaTLm9pvmD/99DPmzZvDpk0bkEqlfPHFbOVvCxbMo337DrRv34H8/HyGDBlAfn4BWVlP6NfvLd54oxvvvz/hX5+j4NVEIn+eBK/XHF9fX+rXr09xcTGbN2+mUqVKjB8/nnnz5iGRSCgoKGDOnDls3LiRmJgY7O3tadOmDcHBwcq82nXr1hEYGEhycjKdO3fGx8eH0NBQ0koedwYFBREREaFc5eEpUVFRfPTRRxw+fBgDAwO6devGsmXLVGZZrlq1ikWLFvH48WPc3d2ZNWsWI0aMUP4ukUjYtWuXcqmRhw8f4u7uzsWLF2nSpAkAx44dw8/Pj9TUVMzNzRk1ahQnTpxAJpPh4OBAv379+Oqrr57r1YO/D9PtUfA/xdjSQq/6CZe0z67/Nzg0qK1X/Q5Ll+tVP/Phfb3qF+Xn61Uf4NGvug9a/wmFWbqtAvFPaVLqn7o+OHvjxTwRKY8WddWjoS+SjMhretW3qvvvB4IVYajnZ7SxfxzX7wGAq6bq6z+/SFrW028bcnKy0270gvjr48kv7VjtwzSnI/zXEYNfgd4Rg9+KEYPfihGDX+2IwW/FiMFvxYjBr3bE4Pe/hUh7EAgEAoFAIHhVMHh5b3h7XRET3gQCgUAgEAgErw0i8isQCAQCgUDwiiCRiLikvhElLBAIBAKBQCB4bRCRX4FAIBAIBIJXBInI+dU7IvIrEAgEAoFAIHhtEINfgUAgEAgEAsFrg0h7EAgEAoFAIHhVEBPe9I4oYYFAIBAIBALBa4OI/AoEAoFAIBC8IogJb/pHDH4Feqe4oFCv+qZ2+n3tpL5fP5x07bZe9Yv0/AZzUxtbvepnJyboVR/AzMFRr/p5hql61S8u1qs8VlJjvepL9Py/3sTKSq/6Bno+Af32YCguKNDzESBHUqRXfWMjMZwR6I5oLQKBQCAQCASvCOIlF/pHlLBAIBAIBAKB4LVBRH4FAoFAIBAIXhVEzq/eEZFfgUAgEAgEAsFrg4j8CgQCgUAgELwiiJxf/SNKWCAQCAQCgUDw2iAivwKBQCAQCASvCiLnV++IyO//ML6+vkyZMuWFaoaHh2NjY/NCNQUCgUAgEAheFUTkVyAQCAQCgeAVQeT86h8x+BX8v2Du4kLDDz/E2NKSguxsrq5YQVZMjJqd1/DhODRtCsXF5Gdmcv2778iWybTqm9rb4zlgEIZSc4pycrm342dyElTfFObQtBmu7dorvxtbW5P58AG3f/xBq76ZkxP1xr6LkYUFhTnZ3Fi3juy4WDU7zwEDsW/YCOTFFDx5ws2NG9T8KEvTqZNx69AeqasrB4aOIOP+A4127r3epM7I4UgkBsjOnefCV4uRF+n+FqVHUVHMDgggNS0NS0tLQoOD8fTw0Gi7MyKC9evXUyyX08rbm5kzZmBoWP7l41F0NAELFpCWnoGlhZTgzz7Ds0YNFZvY+HgCFizk1t27VK1cmc3ffauz74/j4pizYiXpmZlYmEv54sMPcK9SRcXm/LVrfLt5C9k5uUgMJHRo0YL3hgxGosPbuIytrKns14lKpqYU5ecRe/QoeWmqb2kzd3Wjevce5KWnK7c9iNipcx2Y2NpS/c1eGJqZUZSbx6N9e8lNTlKzM3VwpGqXNzCSSgEJsX8cI+32La36j6KiCAgKIC0tDUsLS4KDyq/fXRERrN+wHnmxnJYtvZnxWcX1+5S42BhWLP2KzIx0zKUWfDhpGlWqVlezu3blIpt/WEdOTg4GEgktWrZlyLDRWutCn200KjaWkCXfkJaRiaVUyuzJk/CoVlXF5tzlK6zctImsnBwMJAZ0bNWS94cP06kNKfx/xKyAkjpQ+u9Zjv+7WKf0vyVfaOtjjx7xRSntOcHBeHqqa+/ctYu1T3VbtmSWFt2nxCQmsmjrNjKyspCamfHJ4EFUd3HWaJtfUMDEsG8wMTZi2ZTJWrWfkpQQx44fVpCdlYmpmTn9h32Ik2uVcu0LCvJZ+eVnGBmbMOHTBVr1o6KiCAkNIi0tHUtLC2bPDsTDXb39xMbGEhoazK3bt6hatRobwjfqfA6C/03E7cX/OIWFhUycOBEbGxvs7e2ZNWsW8pLX2ebn5zN9+nQqV66MVCqlVatWHDt2TGX/8PBwqlWrhrm5OX379iU5OVnl98uXL+Pn54elpSVWVlY0b96cc+fO/Wu/67/3HtGHDvHnlCk82L2bhh98oGbj1KIFtnXrcnL6dE58+inJ165Ra+hQnfTd+/Qj4ezfXP56MbF/HsejX381m6SLF7i6fKnyU5CZSdKlSzrp1xkxipg/jnN61kweHdhP3dGj1WwcmjTBprYXZ0OC+DsokNTISDz6qvtRlsdHjnHkvQlkxcWVayN1daXBe+M4Mn4C+wYMxtTeDvdePXXy/Smhc+bQv18/fomIYMyoUQQFB2u0i46JYeXKlYSvW8fe3btJSk5mV0REhdpzv/6a/j17snvTRkYNGULwV4vUz8HcnA/fGcu8L754Lr8Bvly9hrc6+7P1myUM692L+au+U7OxlEoJmjyJH8MWs3b+PC7diOTgiRM66bt29CE18gZ3f9pC8qVLuPn6arTLS0vl/o6flZ/nufmo1rU7SZcucuP775D9fZpq3Xuo2UgMDfHsN4DYP45zY81qbqxdzZPHj3XSnztvDv379mP3zghGjRxFcKjm+o2JiWHltytZv2YdeyJ2k5SUTMTuCJ2OsXrVEjq/0YNvVq6nd9+BrFr+tUY7qYUlk6fOJGzZGuYvWsGN61c48edRrfr6bKMLVqyiT9c32P7tSob368vcZcvVbCwtLAid9gk/rVhO+NeLuHDtOr//8YdWv58SMmcuA/r155eI3YweNYrACvxfsXIlG9at59fde0hKTtLqf8jcuQzo35+9u3czZtQoAjRoR8fEsHzlSjasX8++PXtITkpipxbdpyzdvpPurVux9vPpDPT1Ieznn8u1Dd9/gDo11G96tLH7p9V4t+vMx7O/oYN/b3ZtWVWh/aG9W6nqrvvr5hcsnE+f3n3Z/vMOhg8fydy5czTaSaVSxo//gJAQzb+/bCQGkpf2eV0Rg9//cTZs2IChoSFnzpxh6dKlhIWFsWbNGgDGjBnDiRMn2Lp1K1euXGHgwIF069aNO3fuAHDmzBnGjh3LhAkTuHTpEn5+fsyZo9r5hw0bRpUqVTh79iznz5/n888/x8jI6F/5bGxlhZW7O7F//gmA7MwZzJycMHN0VLM1MDLCoOR4hmZm5JUZnGvCUCpF6uZG4qWLAKRcu4aJrR0mNrbl7iOtUgUjCwtSI29o1TeytMSienVkp08BkHj+PKYOjpja26v7b2iIgaHC/0pmZuSlpmjVT7p0mZzExAptqnTyJeb4H+SlKKKR93ZGUO2Nzlq1n5KcksLNmzd5s4diwNXZ35+Y2FhiYtWj14cOHaKTnx/29vZIJBIGDhjAgd9+K1c7JTWVyNt36NGli0K7Y0di4+KIjY9XsbO2sqJpw4aYmZnq7DdAano6tx88oGuHDgD4tmpFXEICcWUi6rXd3ansrIhUmRgbU7NGdWJlFUfdASqZmmHm4EDandsAZDy4j5GlFUYWls/lZ0UYmptj5uxCyvVrAKTduomJtQ3GVtYqdnb16pMVG0NWTLRig1xOYU62Vv2UlBQib96kR/dn9RsbG0uspvo9rFq/A/pXXL9PSU9L5cH9u3Tw8QegVZsOJCTEk5AQr2br7lETZxdXAIyNjanh7olMVv7NHei5jaalcev+PbqV3NR0atuGWJmM2DJPlbw8Pajs4gIo2lBtd3di4rU/eXrmf6TS/y7+ncv1/+ChQ3Ty66T0f9CAAez/7UCF2pGRkfR8qt1Zs/bBQ4fo1KkTDqXKZf+B8nWfkpb5hLsxMfg3awpA+0YNkaWkEJ+ifv26dv8BMUlJ+DdrplW3NE8y04mLfkDjFop+XL9JK1KTE0hN1txHH96LJDkxjibeHXXST0lJ4datm3Tr1h2ATn6diI2N0dgHrK2tadKkCWamZs91DoL/XcTg93+cqlWrEhYWhpeXF8OGDeOjjz4iLCyMe/fusWXLFn7++Wc6dOiAp6cn06ZNo3379qxfvx6Ab775hq5du/L5559Tu3ZtJk2aRNeuXVX0o6Ki6Ny5M3Xq1KFWrVoMHDiQxo0b/yufTe3tyUtNRV5crNyWk5SEqYODil3C+fOkXL+O3+rV+K1ejX3Dhtz56Set+ibWNuRnZkAp/fy0NIwrmMjn1MKbxIsXVXwq1387O/LT0lRs81KSMbVTHfwmXb5M6q2btP86jHaLw7CtW5cHOkbUtGHu4kxWqcFkdlw85s6aH0lqQhYfj6Ojo/Lxp0QiwcXFhXgN0ea4+HhcXV2V393c3IiLVx/gPCU+IRFHBwcMK1V6pu3sRJwO6So6+Z6cjIOtrYq+s4MDsqTyb4yS09I4dvoMbZo21apvZCGlIDsLSp6gABQ8ycTI0kLN1tjaBo9+A/Do2x/bevV1PgcjSysKnjxROUZ+RgbGVlYqdqYODhQXFuLZfyB1Rr9TkiZhrlU/Xqahfp1diIsvp35dVOs3XlZ+/T4lOTkRWzt7KpWqBwcHJ5ISK77BSEtN4fSpP2narGWFdvpso7KkJBzs7FTbqKMjskT1tJOnJKemcuTkSdq2aF6h3xX57+riQpwG/+Pj456vj+moHRcXh1sp3cpadJ+SmJ6GvZWVSt062tiSmJqmYpebl8+3u/fwUf9+WjXLkp6ajKWVrcoxrG0dSEtVr4P8vFz27QjnrUHjdNaXJchwcFBvPzId2vb/OxLJy/u8pojB7/84rVu3Vsk/a9OmDXfu3OHcuXPI5XJq166NhYWF8nP8+HHu3bsHQGRkJG3atFHRK/t96tSpvPvuu3Tu3JkFCxYo9y2PvLw8MjIyVD75Gh4Fy0v90wfQ1AWt3N2Rurlx7P33OTp+PMlXr1LvnXcqPP6zA5T5XkEfNzAywr5hIxLPn9VNG3X/NR3Aslp1pC6unJg2lRPTppIaGUntocN0PoYOTpQ6/D+4iJXdR+2cSptKSpmVb6e0L/Ndh12ejzK+y9Uq/BlZ2dlMX/glw3q/hZeHu276ZeQkGuo3NymR2z9u4v7O7UT9fgC7evWxKiefU8eDqCExqISVuwdRv+3nZvhaCjIyqPpGV3VDDZTNS62ojFRsn6Oy1HNfK943OzuLhfMC6N1nIB6etXQ5QBn5F9lGy5RPBfs8yc7mk9C5jOjXlzoa8mp18UnbMVT9f3HaKrraZUvvqFV/zd5f6dWuLQ7W1mq/6XYI3a5bB3b/QKsOXbGysXtOfdXvurQLweuBmPD2H6ZSpUqcP39eeWf9FAsLRQRLlwtBUFAQQ4cO5ddff2X//v0EBgaydetW+vbtq9F+/vz5BJfJPRtWrx7D6z+LiuUmJ2Nqb4/EwEAZPTV1cCA3SfWOv7KvLynXr1OYrXjMG3v8OM1nzNDqc156GsbW1mBgoIz+GlvbkJ+WptHerkFDchITtE5EU/qfkoKpra2K/yZ2duSmqEYeXdu1I/VWJIU5OQDEnzxB48lTdDqGNrLjZUhLRXTMXZy1TgT8Ze9eNv2gmMzXrVs3EhISKCwsxNDQELlcTrxMhkspTeV5uLioPCqMi4vDteRRsCZcnBxJSEqisKgIw0qVkMvlyBIScH2OyHRFONvbk5icrKKfkJSMs4N62klWTg5T582nffPmDOn5pk76BU+yFJPLJBLlKMTQwoKCzCcqdsUFBcq/C7OySL97B3NXVzLuV3yDCFCQmYGxpaXKMYwtrcjPyFCxy89IJzPqkSJKDKTcuI7nwEEaNX/Zu5cfNpfU7xvdSJCp1q9MJlOJ8D7F1cWF2FKTNWPj4nBx1ly/x48eZO+eHQC06+BHcnIiRUVFVCqph6SkRBwcnTTum5OTzbyQL2ju3ZqevQeUew4vo406OziQUKYNyZKScHZ0ULPNys5hSlAwHVp6M7RP73I1Afbs/UXpf/du3ZBp8N9Vg/8uLq5l/I+tuI+5uOik7erqqpIKERtbse5THK1tSEpPV63b9DQcbW1U7K49fMDfN2/y48FDFBQW8CQ7h/e+WszqTz/RqHvx7+OcOLoXgEbN2pGelqxyjPTUJGxs1evg0f2b3L5xkaO/7aCwIJ+c7CyWzpvKpJmqOeb79v3K5i0/AvBGl65q7Ucmk+FcTtsWvF6IyO//OKdPn1b7XqtWLZo2bUpRUREJCQnUrFlT5eNScvGrV6+exv3LUrt2bT7++GN+//13+vXrp0yb0MSMGTNIT09X+QyqU0fFJj8jg8wHD3Arydl0btWKnIQEtTzXHJkM+wYNkJQM3h2bNydTh8k+hVlZZMfG4thE8YjbrkED8lJT1WbrP8WpeQsSnmMSX0FmJpmPo3Bu3UbpV25SErll8pFzEhOxrVNP6b9D4yY80bCixT8h+uhxKvt0xMROkcfs2a8Pjw8eqnCfXj17sm3rVrZt3crY0aOp4+XFr/v2AXDo8GHcXF2p7Oamtl9nf3+OHD1KcnIycrmcn7dvV0uPKY2drS1eNWuy7+BBhfYff+Dm4oKbDv90dcHW2pra7jX4rSRn/NiZM7g4OeLqpDroys7N5ZN582nVuDFjBmifaPiUotwccpOTsKmlmFhj5e5BQWYmBU8yVewMzZ+lHxgYGWFZvbraDVx5FGZnky2TYVe/AQA2XnXIz0gnPyNdxS41MhKpqysGxsYKXzw8yr1J69WzJz9t3spPm7cyZvRovLy82LdftX7dNNSvfyfV+t2+Yztdy4ku+/h14auwb/kq7Fv69BuMu3tN/jx+GIAzp/7EyckZJyf1es7NyWFeyEwaN23OgEHDyy2Xl9ZGbWzw8nDnQMkE4CMnT+Hq5IRbmRu07BzFwLd106a8M2RwuXpPeatnL37e+hM/b/2JsaPHqPh/8PAh3FzdNPrfxd+fI0ePKP3ftn073Srw397OjjpeXux9qn3oEJXd1LU7+/tz5MgRkkqVS/cKdJ9iY2mBp5sbhy8o5k38deUqzrZ2uNipRl6//WQqG7+YwcYvZvD5sGHUcHUpd+AL0LSlDxM/+4qJn31Fxy59cK3izuVzin58/dIZbOycsLVXv3n66PNFTAtawbSgFQwaPQVnt2pqA1+AHj3e5IdNm/lh02ZGjhyFV20vDhzYD8CRo0dwdXXT2AdeNSQGBi/t87oikYvnAP+z+Pr6cv78ecaNG8f48eO5cOEC48aNY/HixYwfP57hw4dz4sQJFi9eTNOmTUlKSuLIkSM0bNiQHj16cPr0adq2bcuCBQvo06cPv//+O7Nnz0Yul5OWlkZOTg6ffvopAwYMwN3dnejoaEaNGkX//v1ZuHChzn4eGKQeqZK6utLwww9LlgrL4eqKFTyJjqb++PEknDtH4vnzSAwNqffOO9jWqYO8sJC81FSuf/+92iDZpqb60jWmDg54DhiIobk5Rbl53Nu+jZyEBDz69ic18gapNyMBRcS20UeTOT9/LsX5+Rr9z9Yw2DB3dqHu2LEYSS0ozM0lct0asmJjqTNqNEmXLpF0+RISQ0O8hg7DulZt5EWF5KWlc2vTBrVBctK12yrfm02bilvH9pja2ZGXnk5hdg77Bw6hxczPiP3zL2L/VKxY4NG7F17DhyExMCDh/HnOL1ykcbWBtw5rnvjz8OFDZgcGkpaejoVUSmhICDVLHukGhYTg6+ODr48PADt27mR9eDjFcjktvb35YsYM5cTH4vQ0de2oKAIWfkl6RgZSc3NCP/8MT3d3gr9ahE/bNvi2a0d+fj69hg0nv6CAJ1lZ2NnY8OYbXZg0TjWvL1tDDumj2FjmrlhFxpNMzM3MmfXhB3hUrcr8b7+jfYvmdGjRgg07d7H25+0qS6B1atOaUf3Un1rIytz0GVvbUNnPj0omphQX5BNz9Ah5qam4dfQl89FDMh89xK5+A0Wer7wYJAZk3L9H4nnNN1GabrxM7Oyo3qOnYqmzvHwe7fuF3KQkqnXrQfrdO6TfVUxMtavfAOfWbZAXF1OQmUnUb/spyFQdiNeZoL681MOHDwkIDiQ9PR2pVEpoUIhyKazg0BB8Oj6r3527dhK+QVG/3i0Uy4QZGT6b2HrnseZBfWzMY1YsXcSTzAzMzM35cNKnVK1WA4BvV3xNC+82tGjZhp0/b+bnnzapLIPWpm1H+g1UrN7iVV092vf0HF5EG82NjlLTfhQdQ8g3S0nPzERqbkbglMl4VKvG3GXL6dCyJR1btWT9tp/5fstWlSXQ/Nu1Y8yggSpaZlU0r3Tw4OFDZgcGKOtgTkio0v/AkGB8fXzw8/EFYLvS/2Jaensza8ZMpf+asgMePHzIrIBn2nNDFdqBwSW6vs9014WHU1xcTCtvb2bNnKk2aTnm8EE1/ccJCSz+aRuZWdmYm5rwyZDB1HBxIWzbz7SuX4829VVz3C/fvceavXvLXersnHENtW2Jslh2/riC7KwnmJia0X/4hzi7Ksp61+ZvqdOwBXUbtlDZ5/6d6xyI2KS21FmXluopTY8ePSQkNERZRoEBgXiUpCbNnTuHDh060LGjD/n5+fTr35eCgnyePHmCra0d3bt358MJE5VaNrZWavr64tzckJd2rBZfBLy0Y71KiMHv/zC+vr7Ur1+f4uJiNm/eTKVKlRg/fjzz5s1DIpFQUFDAnDlz2LhxIzExMdjb29OmTRuCg4Np2LAhAOvWrSMwMJDk5GQ6d+6Mj48PoaGhpKWlkZ+fz6hRozhx4gQymQwHBwf69evHV199hamp7jP0NQ1+XySaBr8vEk2D3xdJ2cHvi6a8we+LQtPg90WiafD7oik7+H3RlPfU4UWhafD7Iilv8PuiKG/w+6LQNPh9kZQ3+H1R6HtekqbB74tG0+D3RaJp8PsieZmD3/PzQl/asZrPnP3SjvUqIXJ+/4cpvWbvqlXq6yMaGRkRHBysloNbmrFjxzJ27FiVbZ98onhsZWxszJYtW16MswKBQCAQCASvAGLwKxAIBAKBQPCq8Brn4r4sRAkLBAKBQCAQCF4bRORXIBAIBAKB4BVB1/WPBf8cEfkVCAQCgUAgELw2iMivQCAQCAQCwauCRMQl9Y0oYYFAIBAIBALBa4OI/AoEAoFAIBC8IkgMRM6vvhGRX4FAIBAIBALBa4OI/AoEAoFAIBC8IkhEzq/eESUsEAgEAoFAIHhtkMjlcvn/txOC/za5WVl61a9UWKBXfYyM9SpfpOcuuMe/q17139i0Vq/6iZUs9aoPUMPeXL8H0HMboiBfv/p6Jj8zU6/6MXmV9Kpfxclar/pGlfSbA/okV8/XUMDCSL/nUCjRbx2bWUj1ql+aS2GLXtqxmnw87aUd61VCRH4FAoFAIBAIBK8NIudXIBAIBAKB4BVB5PzqH1HCAoFAIBAIBILXBjH4FQgEAoFAIBC8Noi0B4FAIBAIBIJXBPGSC/0jIr8CgUAgEAgEgtcGEfkVCAQCgUAgeFUQE970jihhgc7UqFGDJUuW/H+7IRAIBAKBQPCPEZFfgUAgEAgEglcEkfOrf8TgV/D/wqOoKGYHBJCaloalpSWhwcF4enhotN0ZEcH69esplstp5e3NzBkzMDSsuOk+iopiZnAIaSX6cwNmq+nHxMbyRUgoN2/dolrVqmzbuEF3/x89YmZAwDP94GA8PT3V7Hbs2sXaEt9bt2zJLB18L30O+iqjplMn49ahPVJXVw4MHUHG/Qca7dx7vUmdkcORSAyQnTvPha8WIy8q0up7VEwsIWFLSMvIwFIqZfbHk/GoVk3F5tzly6zcsImsnBwMJBI6tm7F+yOGI5HoduGPiYkmbPECMjLSkUot+HjqZ1SrXkPN7vKlC2wI/56c7BwkBhJat27HiFHvVHgcfbcf0H8b0nsf0LN+VHQ0AQu/JC09HUsLC4KnT8ejRnUVm9j4eAK//JJbd+9StXIVfly1Umd9gNiYaMK+XkBGejpSCwumTP2MatVqqNldvnSBjeHfk5OjaEOtWrdjxMiK2xAoyiggqKSOLSwJDiq/D++KiGD9hvXIi+W0bOnNjM8qrueXcQ2KehxFaEgwaekK/2fPDsDdXd3/2LhYQkNDuH37FlWrViV8/Uat2o+iopgZFERamqJ+5wYFam4/QcGK9lOtGts2adcte4zZgc/KKERL+a8Lf1b+Mz/XvZwE/3uItIf/CL6+vkycOJGJEydiY2ODvb09s2bN4unbq1NTUxk5ciS2traYm5vTvXt37ty5o6KxY8cO6tevj4mJCTVq1GDx4sV68zd0zhz69+vHLxERjBk1iqDgYI120TExrFy5kvB169i7ezdJycnsiojQqh88fwED+/bh1x3bGTtiOAFz5qrZWEilTHp/PAtDQ57b/+C5cxnYvz+/7t7N2FGjCNDgf3RMDMtXrmTj+vXs37OHpKQkdurg+1P0WUaPjxzjyHsTyIqLK9dG6upKg/fGcWT8BPYNGIypvR3uvXrq5PuCFSvo060r21d/y/D+/Zj7zTI1G0sLC0KnT+OnVSsIX/I1F65d4/fjf+ikD7Bi2dd0696T1Ws20X/AEL5Z8pVGOwsLS6Z/NptVq8NZsvQ7rl29zPFjhyvU1nf7Af23Ib33AT3rzwlbQr833yRi4wZGDR5M8CL1V75Kzc2ZMGYMc2fOfG59ULShrt168l1JG1paXhuytOTTz2az8rtwwr7RrQ0BzJ03h/59+7F7ZwSjRo4iOFRzH46JiWHltytZv2YdeyJ2k5SUTMTuiAq1X8Y1aOHC+fTu05eft+1g+PARzJ03R6Od1FzK+PHvExIcqrN28Lz5DOzbl1937mDsyJEEhKprW0ilTJrwAQvnaj6uNubMVZT/nl0RjB45iuCQCsp/1UrC167jl927SU7WXv56RWLw8j6vKa/vmf8H2bBhA4aGhpw5c4alS5cSFhbGmjVrABg9ejTnzp1jz549nDp1CrlcTo8ePSgoULzT/fz58wwaNIghQ4Zw9epVgoKCmD17NuHh4S/cz+SUFG7evMmbPXoA0Nnfn5jYWGJiY9VsDx06RCc/P+zt7ZFIJAwcMIADv/2mVT/y1i16dusGQJdOnYjWoG9tbU2zJk0wMzN7bv8jIyPpWeJ/l86dNer/fugQ/p064VDi+6ABA9h34IDOx9BnGSVdukxOYmKFNlU6+RJz/A/yUlIBuLczgmpvdNbqe0paGrfu3aebny8Andq1JVYmI1YmU7Hz8vSksosLACbGxtR2dycmPl6rPkBaWir37t7Gr1MXANq174hMFodMpr6/Z81auLi6AWBsbIy7Z03i48sf9Ou7/SiPocc29FL6gB71U1JTuXnnDj26KNqbf8cOxMbHE1umfVhbWdG0YUPMTE2fSx9K2tC9Z22obbsK2pCnahvy8KiJrII2BJCSkkLkzZv06P6sD8fGxhKrqQ8fVu3DA/pX3IdfxjUoJSWFW7du0a2roo79/Dop/I9T99/a2pomjZtgqmM9J5eUTc/u3RX++3ciOjam/PZj+vx97Gn563INPXj4EH5lyn+/lmuo4H8bMfj9D1G1alXCwsLw8vJi2LBhfPTRR4SFhXHnzh327NnDmjVr6NChA40bN+bHH38kJiaGiJIowNdff42/vz+zZ8+mdu3ajB49mokTJ/LVV5ojIf8GWXw8jo6OykdKEokEFxcX4jVEIePi43F1dVV+d3NzI07LACleJsPR0UFF39XFhbh4WYX76Uq8Bv9dXVyIK+N/fFwcbqV8r+zmRryOgzt9l5EumLs4k1VKJzsuHnNnZ+2+JyXhYGeHYaVKz3x3dERWwWA7OTWVIydO0rZFC518S0pMwM7OgUqljuHo6ExiQsV1nJqSwom/jtPCu1W5NvpuP6D/NqT3PqBv/cREHO3tVduQkxNxCQkvRB/+ZRs6cZzmFbQhgHiZhj7s7EKchkFzXHw8ri6qfThewyBcqf0SrkEJCTIcHNT9l72Aa4ui/ZTx39nlhVy3nh0jHidN11AN5R+v4RqqaznpA4mB5KV9XlfE4Pc/ROvWrVVy0Nq0acOdO3e4ceMGhoaGtGr17GJtb2+Pl5cXkZGRAERGRtKuXTsVvXbt2nHnzh2KdMjxfEpeXh4ZGRkqn7y8PHXDsrlyJekZmih9TvIK7FT2QVVf1/10pWyuX7n6pX1//oOofn/BZaQTpbV0zMXVZCqv4OyfZGfzSUgoI/r3o05N9ZxFXY9RUfkAZGdlERI0k/4DhlCzZu2KtfXcfkD/bUjvfeBl97Hn70E6HET1q7ZzyM7OIiR4Jv37a29D8HznoGKrQ1m+jGvQ8/Tj50Wf2uUdpKL61ds1VPBKIga/rzFyuVzZ4Uv/Xfr352X+/PlYW1urfL5atIhf9u5l0JAhDBoyhNN//01CQgKFhYXK48TLZLiUuvN+iquLi8pjwri4OFxLHpWXh4uzMzIN+q4u2qOWuuDi4qJZv4z/Lq6uKr7HxsbiUoHvL7OMdCE7Xoa01PHMXZzJlmmP7Dk7OJCQlExhyU2TXC5HlpiEs6Ojmm1WdjZTAoLo0LIlQ/v2qVD38KHf+OjDd/now3e5dPECSUlJyhszuVxOYlICjk6a6zg7O5uA2Z/RsnVb+vYbVOFx9N1+QH9t6GWdg971HR1JSEpUbUMJibg6Of0r3SOHf2PSxHeZNPFdLl26QHKZNpSkpQ0Fzv6MVq3a0qecNvTL3r0MHjqEwUOHcObM3yTIVMtIJpOpRHif4uriopJOEBsXh4tz+fWsr/azb9+vjBg5jBEjh/H3WfVrkEwmw/kFXFtcnJ2RyTS1n3+n/cvevQx6ewiD3i6//F00lL+LhmuoLv1MX0gkBi/t87ysXLkSd3d3TE1Nad68OX/++We5tseOHUMikah9bt68qWK3Y8cO6tWrh4mJCfXq1WPXrl3P7dfzIga//yFOnz6t9r1WrVrUq1ePwsJCzpw5o/wtOTmZ27dvU7duXQDq1avHX3/9pbL/yZMnqV27tvKxoC7MmDGD9PR0lc+n06bRq2dPtm3dyratWxk7ejR1vLz4dd8+AA4dPoybqyuV3dzU9Dr7+3Pk6FGSk5ORy+X8vH07Xbt2rdAHezs76nh5sbckt+3gkSNUdtOs/09Q6pf4f/DQISq7uanpd/H35/CRIySV+L5t+3a6V+D7yywjXYg+epzKPh0xsbMFwLNfHx4fPKR1PzsbG7w8PDhw9BgAR06cxNXZCbcyKRPZOTlMCQyidbOmvPP2EK26/p27smzFGpatWMOAQW/j4VmTo0cOAnDirz9wdnLBWcOAIScnh8DZ02nW3Ju3h47Uehx9tx+VY7zgNvSyzkHf+na2tnjVrMm+kvZ2+I8/cXVxxu1fDkg6+Xdl6fI1LF2+hgEDVdvQyRMVt6Gg2dNp1sybIRW0oV49e/LT5q38tHkrY0aPxsvLi337Vfuwm4Yy8u+k2oe379hO1zfKr2d9tZ8ePd5k08Yf2bTxR0aOGEXt2l4c+E1Rx0ePHsHV1Q03139fx0r/9+9X+H/4CJVd1f1/Xnr17Mm2LVvZtqWk/OvoeA3t5M/RMuXfrYLyf1356aefmDJlCl988QUXL16kQ4cOdO/enaioqAr3u3XrFnFxccpPrVq1lL+dOnWKwYMHM2LECC5fvsyIESMYNGiQynhFH0jkIr7/n8DX15fz588zbtw4xo8fz4ULFxg3bhyLFy9m/Pjx9OnThzt37vDdd99haWnJ559/zt27d7lx4wZGRkZcuHABb29vgoKCGDx4MKdOneKDDz5g5cqVjB49GlC85GLKlClMmTLluXzLzcpS2/bw4UNmBwaSlp6OhVRKaEgINUuW6QkKCcHXxwdfHx8AduzcyfrwcIrlclp6e/PFjBkYGRkptSoVFqjpP3j0iFnBIaSlpyOVSpkXGEhNTw8C5szFr2MH/Dp2JD8/n+79+pGfX0DmkyfY29nSs3t3Pv7wQ1UxI2N1/YcPmRUQ8Ew/NJSanp4EBAfj5+ODn68vANt37mRteDjy4mJaensze+ZMFd8Bisrpgi+qjPb4q1/Em02bilvH9pja2ZGXnk5hdg77Bw6hxczPiP3zL2L/PAGAR+9eeA0fhsTAgITz5zm/cJHaUmdvbFqrpv8oOpqQsG9Iz8xEam5O4MdT8KhejblLl9GhVUs6tmrF+p+28f3mLSpLoPm3b8eYwapRtcRKlhrLJzo6irDFC8nMzMDc3JyPP/mc6tXdAVi65CtatW5Lq9bt+GnLD2z+MVxlGbT27X0Z/PZw5fca9uYq2i+0/YDe2xAF+er6L/oc9Kifn5mppv/w8WMCF35JekYGUqmUkM+m41mjBiGLFuPTtg0+bduSn5/PWyNGkl9QwJOsLOxsbHizS2c+evddFa2YPM038NHRUSz5eiGZGYo2NKW8NrT1B7aUaUPt2vsyeIiiDVVxstao//DhQwKCA0kvKaPQoBDlcmTBoSH4dHzWh3fu2kn4BkUf9m6hWK7QyFBRz0aV1FOOXmT7eZKrfg0FxXJqoXOClf4HzA7Ew0Ph/9x5c+jQoSMdOyjquf+AfhQU5PPkyRNsbe3o3q07EyY8q2cLI9VzePDwoWr7CQpU+B86R9F+fHwU7adPX/Lz80vajx09e3Tn44kT1XwtlKjX8cOHDwkIenYNDQl+dg0NDgnBp8w19Gn5t3xa/qXKycxCqrGM9MH17799aceqP+59nW1btWpFs2bNWLVqlXJb3bp16dOnD/Pnz1ezP3bsGH5+fqSmpmJjY6NRc/DgwWRkZLC/5EYIoFu3btja2rJlyxbdT+Q5EYPf/wi+vr7Ur1+f4uJiNm/eTKVKlRg/fjzz5s1DIpGQmprK5MmT2bNnD/n5+XTs2JFly5ap3IHt2LGDgIAA7ty5g6urKx999BHTpk1T/v4iB78vEk2D3xeKhoHLi6S8we+LQtPg90WiafD7Iilv8PsiKTv4feHouQ1pGvz+L6Fp8PsiKW/w+6Iob/D7otA0+H2RlDf4fZGUHfy+aDQNfl8k/9XBb82RY9Tm5ZiYmGBiYqKyLT8/H3Nzc37++Wf69u2r3D558mQuXbrE8ePH1bSfDn5r1KhBbm4u9erVY9asWfj5+SltqlWrxscff8zHH3+s3BYWFsaSJUt49OjRizpNNcQKzv8hjIyMWLJkicpd2VNsbW3ZuLHiBcL79+9P//79y/394cOH/9ZFgUAgEAgEFSAxeHkZqfPnzye4zBrRgYGBBAUFqWx7OsfCuUz6mrOzc7krY7i6urJ69WqaN29OXl4emzZtwt/fn2PHjtGxY0dAsdLG82i+KMTgVyAQCAQCgeA1ZMaMGUydOlVlW9mob2k0TYwv702HXl5eeHl5Kb+3adOGx48fs2jRIuXg93k1XxRi8CsQCAQCgUDwqqDngV9pNKU4aMLBQbEmdtmIbEJCglrktiJat27NDz/8oPyuWHv532n+E8RqD/8Rjh07xpIlS/6/3RAIBAKBQPAfw9jYmObNm3Pw4EGV7QcPHqRt27Y661y8eFFlSb42bdqoaf7+++/PpflPEJFfgUAgEAgEgleEl5nz+zxMnTqVESNG0KJFC9q0acPq1auJiori/fcVK0bMmDGDmJgY5fyiJUuWUKNGDerXr09+fj4//PADO3bsYMeOHUrNyZMn07FjRxYuXEjv3r3ZvXs3hw4dUlt69UUjBr8CgUAgEAgEggoZPHgwycnJhISEEBcXR4MGDdi3bx/Vq1cHFC8HKb3mb35+PtOmTSMmJgYzMzPq16/Pr7/+So8ePZQ2bdu2ZevWrcyaNYvZs2fj6enJTz/9pPJGWn0gljoT6B2x1FnFiKXOKkYsdaYDYqmzChFLnVWMWOpMOy9zqbPIcP1eU0tTd/Q7L+1YrxIi8isQCAQCgUDwiqDvlQ4EYsKbQCAQCAQCgeA1QkR+BQKBQCAQCF4VXtEJb/8lRAkLBAKBQCAQCF4bRORXoHeKUlP0qp+dka5XfX1jamOrV319T0j7fYR+J0w0nTpRr/oA+W3b6VVfYqjfyThGVvqdcHX7sX77cO2qdnrVd02Q6VU/r0C/k6GMJPqNUxnpuX0CINHvxN7M7Dy96r/MCW8i51f/iMivQCAQCAQCgeC1QUR+BQKBQCAQCF4RXtWXXPyXECUsEAgEAoFAIHhtEJFfgUAgEAgEglcFPed4C0TkVyAQCAQCgUDwGiEivwKBQCAQCASvCBIDsdqDvhGRX4FAIBAIBALBa4MY/OoBX19fpkyZorO9RCIhIiLiXx0zKCiIJk2aKL+PHj2aPn36/CtNgUAgEAgELxmJwcv7vKa8vmf+EigoKOCzzz6jYcOGSKVS3NzcGDlyJLGxsf/frgkEAoFAIBC8loicXz2SnZ3NhQsXmD17No0bNyY1NZUpU6bw1ltvce7cuf9v9/5fiYqOJmDhl6Slp2NpYUHw9Ol41KiuYhMbH0/gl19y6+5dqlauwo+rVuqs/zg2lpCly0nPyMBCKmX2pIm4V62qYnPuylVW/fAj2Tk5GEgkdGjpzfhhQ3V6u46+9R9FRxOwYAFp6RlYWkgJ/uwzPGvUULGJjY8nYMHCkvKpzObvvtVeMCVExcQSEraEtIwMLKVSZn88GY9q1VT9v3yZlRs2kVXif8fWrXh/xHCd/G86dTJuHdojdXXlwNARZNx/oNHOvdeb1Bk5HInEANm581z4ajHyoiKt+jHJyYTt2EVGdjZSU1M+7teHak5OGm3zCwqYvOo7TIyMWPLBeK3aoP/2CSV1PG/Bs2PM0FDHcfEELFjArTt3qVqlMptXf6e7/qMoZgYEkJaWhqWlJXODg/H09FCz27ErgrXr11Msl9O6pTezZszA0FC3fw2xsdEsW/IlGRnpSKUWfDR5OlWrVVezu3r5Ij9sWktOTjYSiQEtW7Vl6PAxFbYlffsfFRND0FeLSSvpw0HTpuJRXdX3s5cusXxdONklfvu0ac2E0aN0fgNX1OMoQkOCSUtPw9LCktmzA3B3Vz+H2LhYQkNDuH37FlWrViV8/Uat2o+iopgZGFRSPhb8H3vnHd5U9cbxT0rpSgfdaZkdUFRA9oaWTRnKHspyAIqKgANZpYMyZIOA7AIyREZBBBQoWxwsRSlToNCmSfem6fr9kRKaJm1TaQB/nM/z5IHevPd73vuee07ee+6554YGBuLlqa0dHRPDtMBArl27To0aNdj5zRaD/Nb4HxXFzMCZGv8DZwbi6anrP0D4vnDCNoWRn59P82bN+WLyF6XWw9Pw//79+8yeHUxycgo2NtZMmTIDDw8PHTu5XM7s2SHcvHmDatWqs27dxnKVU9GIOb/GR4z8PiEZGRmMGDECa2tr3NzcWLhwoeY7Ozs7jhw5wqBBg/Dx8aFly5YsX76cCxcuEBUVpaUjl8vx9/fH0tISDw8PvvvuO63vJ0+eTJ06dbCyssLT05MZM2aQk5NTpn9BQUG4uLhga2vL2LFjUalUmu+ys7MZP348Li4uWFhY0LZtW37//XfN93l5ebzzzjt4eHhgaWmJj48PS5cu/beh0mLW4iX069mT8M2bGDl4MEELFujYSK2sGPfWW4ROnVpu/XmrVtOna2d2rvyKYX37MPsr3cTExlpK8KQJbF++lA0LvuTS31f56fSZ50I/dNEi+vfqxb4tmxk5ZAhB8/XH54N33mb2tGkGaRZl7ooV9OnejV1rvmZY/36ELl2ux39rQj7/lG9XrSBsySIu/vUXP508ZZD+/YgTRIwZR4ZcXqKN1M2NemNGEzF2HAcHDMbC0QGP3r0M0l+x73u6N23Cmgnj6d+2DUvD95Vou/noMepWr2aQ7iOMfX4ChC5YRP/evdi3dQsjhw4haN583TKkVnzwzjvMnlH+Og4KncXA/v34YV84b48cSUBQkI7Ng+hovlq5ks0bN3Bo/z7i4xPYU44pWF+vWEKXbj1Z8fUm+vQbzIrlunECkFpbM/HTqSxbsYH5i1by919/cPpUxDP1f/bS5fTt4c+eDesYMWgAIYuX6NjYWFsTOmUy361dw5avlnHxyhV+PH7CIH2AefPm8Hqfvny3czfDhg0ndPYsvXZSKyljx75HcFCIwdpBobMZ2LcvP+zdw9sjRhAQrLuvtVTK+PfHMS801GDdooTOCaVv377s3b2XESNGEDwrWK9ddHQ0q75exfq169m3dx8JCQns219ym3xa/i9YMI/evfuwfftOhg4dxrx5s/XaSaVWjB49loAA3XNM8P+JSH6fkM8++4zjx4+zd+9efvrpJ06cOMGFCxdKtE9JSUEikVClShWt7TNmzKB///788ccfDBs2jKFDhxIZGan53sbGhrCwMK5evcrSpUtZu3YtixcvLtW3Y8eOERkZyfHjx9m+fTt79+4lqMgPyOeff87u3bvZtGkTFy9exNvbm27dupGYmAhAfn4+1apVY+fOnVy9epWAgACmTp3Kzp07/0WkHpOYlMS1mzfp0aUzAJ3atyMmNpaY2FgtOztbWxrVr4+lhUX59JNTuP7PP3Tz9QWgQ6uWxCiVyJVKLTsfT0+qymQAmJuZUdujFjEKxbPXT0oi8sZNenTpAkDn9u2JkctLjo9leeOTzPXb/9C9gx8AHdu0Jkah0PHNx8tLy/86Hh5EF/OhJOIv/0FWXFypNtU6+hF98hTZiUkA3N4TTo2uncvUTk5P57ZcTodXGwDQ5pWXUSQlo0hK0rH96+49YhIS6dDwVYP8BuOfn4/KiLx543Ed+7YnJlZOjFxPGQ3qY2lhWS79hMREIiOv0atHDwC6dO7Eg5gYootNufrp6FE6deyAk6MjEomEQQMGcPDwjwaVkZycxD//3MTXTx2nVq3boVTEolToniOeXrWRydwBMDMzw8PDG0VsyRdGxvY/MTmZa7du4d+pIwCd2rYlJlZBTKx2G6jr7U01NzegsA14evHAwDaQmJjI9evX6d6tOwAdOnQkJiaGGLnutDc7OzsavtoQC0vD6jkhMZHIa9fo1cMfgC6d9MfHzs6Oxo0alruPeOT/tWvX6OGvroNOHTsREx2jd9resYhjdPDrgGNhPfTv358ffyy5Hp6G/0lJidy4cZ2uXbsB4OfXAbk8BrmeC3JbWzsaNHgVSwPjb2wkEpOn9nlReXGPvAJIT09n/fr1LFiwgC5dulC/fn02bdpEXgm3bR8+fMgXX3zBG2+8ga2trdZ3AwcO5N1336VOnTqEhITQtGlTli9/PBo3ffp0WrduTa1atejduzeffPJJmUmomZkZGzZs4JVXXqFnz54EBwezbNky8vPzycjIYNWqVcyfPx9/f39efvll1q5di6WlJevXrwegcuXKBAUF0axZMzw8PHjzzTcZNWrUEye/sXFxODs6YlqpEqB+4E/m4qKTPP5blAnxODk4aOm7OjkRW0oylpCUxPFzv9C6ceNnrh+rjMPZyUk7Pq4uyA1InA1BEa/rv8zZGUUZ/kec/ZnWTZtWiA8AVjJXMookEpnyWKxcXcvcLz4lFQcbGyoV8d/Zzo64lBQtu4cqFWsPHWLca4aNJj/C2OcnQKxSibOjE6amRctwRa6smDqOjY3F2dlZc9tZIpHgJpPp/PDHymNxL0zuAKq6uxNrYHKXEB+Hg4OjVj04ObsQF1d6nJKSEjn38ykaN23xzPxXxMXh7FisDTs7E1uK7/GJiUScOUPbZs3K1AdQKhU4OWkfg8xVhsLA+JZGrEKhJz6uyCtA+xEKPWXIZDK98Y2NjcWtSD24u5VeD0/Df6VSiaOjk1YZrq6uKPRcnAlePMSc3yfg9u3bqFQqWrVqpdnm4OCAj4+Pjm1OTg5DhgwhPz+flSt1b5EX1Xj09+XLlzV/79q1iyVLlnDr1i3S09PJzc3VSaCL8+qrr2JlZaWlmZ6ezv3790lJSSEnJ4c2bdpovq9cuTLNmzfXGnH++uuvWbduHffu3SMrKwuVSqW1qkRxsrOzyc7O1tqWm52Nubm51rbic+YKKCj1WMqL7pS8kvUzMjP5bPYchvV5HR89cwqfiX5x9YoNj47/pcU/PTOTT4JDGN6/H3W9vSrWkaIHZuA8StCNj774b/jxJ3o2b46TrS0xCQnlcsvY56e6DO2/Cyq4knWOoST9InblPU4JBpZRSGZmBrNDptOn32C8vGqXrm1k/4v7XlobTs/IYNLMQIYPHEDd2t6Gl1GOdlZedONTYdKPyyhH/Rb1x5Bz+an4/xTKEPw3EcnvE2Doj1VOTg6DBg3izp07RERElJm0PuJRw/3ll18YMmQIQUFBdOvWDTs7O3bs2KE1v7g8SCQSje/6fmAebdu5cycTJ05k4cKFtGrVChsbG+bPn8+vv/5aovacOXO0plYATJk4gWmTJmn+ljk7o4yPIzcvD9NKlSgoKEChjMOthAeWyouLoxPKhERt/fgEZM7OOrYZWVlMCJ5F22bNGPr6a8+FvszFGWV8fLH4KHEzYFTUEFydnFDGJ2jrx8Xjqs//zEwmBATSrnlz3ujbp0LKf0RmrAJpkdEiK5krmQaMbjvZ2RKfmkpeXh6VCv2PS0nF2c5Oy+7qvSjO37jJjhMnUeXmkp6VxbhlX7Fy/Iel6hv7/ASQubigjIsnNzcPU9NHdaDEzaVi6lgmk6FQKsnNzcXU1JSCggJiFQqt0TkAmZtM6zZ2TIwcWeFUF30cj/iJ7/ftBqBt+w4kJMRp1UNCfBzOzvrjlJWZSUjgFJo1b81rfQY8E/8f4ersjKJ4G4uLR6bH94zMTMZPm0H7li0Z1r9fqboHD/7A9h3bAOjSpSvKYsegUChwNcC/spC5uqJQKHTj84TaB344wNatWwHo1q0bCqVCx3998ZXJtOtBHlt6PRjL/8OHD/LttzsA6Ny5C3Fx2vFXKhW4uj55/I2OeODN6IhpD0+At7c3lStX5pdfftFsS0pK4saNG5q/HyW+N2/e5OjRozg6OurVKqrx6O+6desCcPbsWWrWrMm0adNo2rQptWvX5t69e2X698cff5CVlaWlaW1tTbVq1fD29sbMzIwzZx4/gJWTk8P58+d56aWXADh9+jStW7dm3LhxNGrUCG9vb27fvl1qmVOmTCElJUXr8+kHH2jZONjb4+PtzcEjRwE4duo0bjJX3CvgRwHAoYoddTw8+PHkSQCOn/sFNxdnneQlMyuLicEhtGzUkLcHDXx+9DXxOQLA0VOncJfJKjA+VfDx9ORw4YM7EWd/xs3VBfdiyXVmVhYTZgbSsnEj3hk6pELKLsqD4yep6tsecwd7ALz69eF+4TlRGlWsrfF0c+P4H38CcPbvq7hWqYKrvb2W3VcfjmPDJxPZ8MlEPh80gFqurmUmvmD881NTRu0idXyysI7dKqYMRwcH6vr4cODgQQCOHD1GVXc3qrq7a9l16dSJYxHHiU9IoKCggJ27duHfrVuJuh06dmXR0tUsWrqafv2H4OHpzckT6jid+/k0zi6uuOhJLrKysggOnELDRk0ZNGTYM/P/EQ5VquDj7cWhY+qH7o6dOaNuAzLdNvDRtBm0bNqEd998o0zdHj16smXzVrZs3sqI4SOpU8eHwz8eBuD48Qjc3Nxxd3MvQ6VsHB0cqFvXhwMHDwFw5Ngxqrrpxqe89OrZi+3btrN923ZGjRxFXZ+6HDykroNjEcdwc3fDXU8ZHTt05PiJ4yQU1sPu3bvp2rXrU/e/e/cebNy4mY0bN/Pmm8OpXbsOP/2knnt84sRxZDI3nQsowYuJpKCi77W9YLz//vscPHiQDRs24OrqyrRp04iIiOCdd95hwYIF9O/fn4sXL3LgwAFciyQXDg4OmJmZAYVz5ZycmDdvHm3btmXr1q3MmjWLK1eu8PLLL7Nv3z4GDBjAli1baNasGT/88ANBQUHk5eWRnJwMqF9yER4erpkqMWrUKHbv3k3v3r2ZPn069+7d46233uKtt95izpw5AEyYMIHvvvuO9evXU6NGDb788kv279/P7du3sbe3Z+nSpQQEBLBz5048PDzYsmULy5Ytw8PDQ2tKRllkPLivs+3u/fvMnPclKampSKVSgid/jletWgQvWIhv61b4tm6NSqXiteEjUOXkkJ6RgUOVKvTs0pmP3n1XSys7NUVH/150NLOWfUVKWhpSKytmjP8Qzxo1mL1iJe2aNaNd82aEfbeLdd/uxLPIEmUdW7di1MDSR6UqWt+iin1xee5GRRHwKD5WVoR8MRkvDw+C5i/At3Ur/Nq0QaVS0fvNYdrx6dqF8aNHa2mpMtJ1/X/wgODFSzX+z5w4Ac+aNQhdtpx2LZrTvkULNn67k7XbtmstgdapbRveGjxIS+un4e/o6Df+dBLu7dti4eBAdkoKuZlZHBo4hKZTJxNz+gwxp88C4Pl6b3yGvYnExATlhQtcmLdAZ6mzRpN0E9YHcfEs3ruXtMwsrMzNmdivLzVdXVgWvo8WPj60eKmulv2fd+6w4fBPJS515t66jdbfFXl+AkgK5/ZqlREVRcCceYVlWBEy5Qt1HX85H982rR/X8RtvolIVlmFfhZ5duzJ+jHYdV7a109G/c/cu0wNmkpySglQqZXZIMN5eXgQEBdPB15cOfuoHNnft2cP6sDAK8gto3qwZM6ZOoXLlylpaN+4n6o1b9IP7LF/6JWlpqVhZSflowufUqFELgBXLF9KseSuat2jNrp1b+Xb7ZqoXfgfQuk17Bgx6E4A61R2M6v9DPXOp795/QNDChaSkqttA4Kef4FWrJiGLl9C+ZUt8W7Vk/bbtrPlmK15FlkDr1K4t77wxVEsr11b/oMa9e/cImRVESuExBMyYiaeneupQ6OxZtGvXnvbt2qNSqeg/oB85OSrS09Oxt3fAv7s/48apBw6szXTHqe7cvcv0wKDH8QkKVMcnOIQOvu3p4OuLSqXC//U+qFQq0tLTcXRwoFePHkz8SLtNZefrH2m8e/cugcGBGv+DZgbh5aX2P3hWML7tfPEtfPB3z949bNq8iYL8Apo2a8qUL6ZQ2fRxPZibaKcaFek/QFKm7upHUVH3mD17lsb/adNmaJaamzt3Nm3btqNt23aoVCqGDBmASpVDRkY69vb2dO3anffeG6fRcnHRPUeNxT/he55aWZ59Sr+b8f+KSH6fkPT0dN5//3327NmDjY0Nn3zyCT/88AMNGzZkwoQJetcUBDh+/Dh+fn6AOvldsWIF4eHhnDp1CplMxty5cxky5PFo2+eff86GDRvIzs6mZ8+etGzZksDAwFKT3+TkZF599VVWrFhBdnY2Q4YM4auvvtLMv3348CGff/4527dvJy0tjaZNm7J48WKaFT7QkZ2dzXvvvcfevXuRSCQMHToUOzs7Dh069MTJb0WiL/n9L6Ev+a1I9CW/FYm+5Lci0Zf8VjTFk9+KRl/yW5HoS34rkpKS34pCX/JbkehLfiuSkpLfikJf8luRlJT8ViTFk9+KRl/yW5GI5Pf/C5H8CoyOSH5LRyS/pSOS37IRyW/piOS3dETyWzZPM/m9s3/vUyvL47W+T62s5wkx51cgEAgEAoFA8MIgVnsQCAQCgUAgeF54gV8+8bQQERYIBAKBQCAQvDCIkV+BQCAQCASC5wSJiRiXNDYiwgKBQCAQCASCFwYx8isQCAQCgUDwvFCOV70L/h1i5FcgEAgEAoFA8MIgRn4FAoFAIBAInhPEnF/jIyIsEAgEAoFAIHhhECO/AoFAIBAIBM8JEhMx59fYiORXYHTSjPx6Ywt7474eOCcry6j6mXFKo+on2bgaVd/Yrx++tOgro+oD2Pv4GFX/YUKCUfWdWrQyqn5VF+O+PtnYWLgYtw3k5BlV3uj3aHOjo4xbABAlsTGqvquDtVH1Bf9fiORXIBAIBAKB4HlBvOHN6IgICwQCgUAgEAheGMTIr0AgEAgEAsFzgpjza3zEyK9AIBAIBAKB4IVBJL8CgUAgEAgEghcGMe1BIBAIBAKB4DlBIh54MzoiwgKBQCAQCASCFwaR/ArKhZ+fHxMmTHjWbggEAoFA8P+JicnT+7ygvLhH/oJTq1YtlixZ8qzdEAgEAoFAIHiqiDm/gmfCg9hYZq9dR0paOtZWVkwZ/Q61qlbVsvnr1i0Wb9oMQG5uHvXr1Gb8sDcxq1y5TP2omBiClywlOTUNG6mUGR+Px7NGdS2b83/8ycotW8jIysJEYkL7Fs15b9ibSCRlLzNzXy4ndOUqktPSsLGSMnXce3hUq6Zlc+Gvv/h6+w6ysh4ikUho26wpYwYPMlh/1oqVpKSlYW0lZdoH7+vX37adzKyHSEwktGvalDFDBhukDxAd/YDFC+eSmpqCVGrNxEmTqVGzlo7dH5cvsilsLVmZWUhMJLRs2YbhI98ptZzohAQW795LamYmUgsLJvbrQw0XF722qpwcPl61GvPKlVny/liDfG806WPc27VF6ubG4TeGk/rPHb12Hr17UnfEMCQSExTnL3Bx/kIK8sp+HdfTiP8DpZJ5mzaTkp6BtaUln48cTi03Ny2bv//5h6XbdwCQm5dHPS8vPhw00KA2cC8qihkBASQlJ2NjY0NIUBBenp56bfeEh7Nx40byCwpo0awZU6dMwdS07J+HqKgogkMCSU5OwcbGmhkzZuLpoVtGTEwMISFBXL9xnerVa7ApbHPZ/t+LYmpAAMmF/ocGBeHlpau9e2846wt9b9m8GdMN9N3Y+qCug4DAwjKsbQgKLLkO9oaHs3HTRgryC2jevBlTJpdejrH9N3YfChAT84Bli+dp+qDxEz6neo1aOnZ//nGJbzavIysrE4nEhOYtWvPm8LfLLOf+/ShCZgWTkpKMtbUN06fNwEPP+SmXxzArNIQbN65TvVp1NmzYZJD/xsLQ+An+PWLk9xmSn5/PvHnz8Pb2xtzcnBo1ahAaGgrAlStX6NixI5aWljg6OjJmzBjS09M1+/7+++906dIFJycn7Ozs8PX15eLFi1r6gYGB1KhRA3Nzc9zd3Rk/fjygnrpw7949Jk6ciEQi0TS0hIQEhg4dSrVq1bCysqJ+/fps377dKMe+IGwTvf382PrlXIb29Gfe+o06Nt7Vq7N6ZgDrQ4LZGBpCcloa+4+fMEh/7opV9OnWlV1fr2RYv76ELtd9Ra6NtTUhn37Ctyu+ImzRAi7+9Tc/nTplkP78tet4rVMndixZzBuv9Wbu12t09aVSAsd/xDeLFrBuTiiXr0Zy5OzPBul/uWYdr3XuxI6lS3jz9d7MWbVav/7H49m6eCHr58wu1D9rkD7AiuWL6O7fizXrttB/wBCWLpmv187a2obPJ89g1ZowlixbzV9X/uDkiWOla+/7nu5Nm7Bmwnj6t23D0vB9JdpuPnqMutWrlfi9Pu5HnCBizDgy5PISbaRubtQbM5qIseM4OGAwFo4OePTuZZD+04j/4q3b6dm2DZuDZjK4a2cWbNmqY+NVrRorv5jMmmlTWTd9Ginp6Rw4fcYg/ZBZs+jfrx/fh4fz1siRBAYF6bV7EB3NypUrCduwgQP79hGfkMDe8HCDypg7bw59Xu/Lru92M2zYCEJDZ+m1k0qljB37PsHB+r/XR1DoLAb278cP+8J5e+RIAvT4/yA6mq9WrmTzxg0c2r+P+PgE9hjou7H1AUJnz6J/337s2xPOyBEjCQrRXwfR0dGs/HolG9dtYH+4upzwfaWXY2z/jd2HAqxasZiu3XqycvVm+vYfzFfLFui1s7a2ZtJn01i+ciMLFq/i77/+5PTJiDL15305l9df68O3O3bx5pvDmD0nVK+dVCplzOixBAYGG+y74L+NSH6fIVOmTGHevHnMmDGDq1evsm3bNlxdXcnMzKR79+7Y29vz+++/891333H06FE+/PBDzb5paWmMHDmS06dP88svv1C7dm169OhBWloaALt27WLx4sWsXr2amzdvEh4eTv369QHYs2cP1apVIzg4GLlcjrwwgXj48CFNmjThwIED/PXXX4wZM4bhw4fz66+/VuhxJ6WmcvPePbq0bgWAb9OmxMbHIY+L17KzMDfXjFDk5OaRrcrBxIAr4sTkZK7/c5vufn4AdGzdihiFghiFQsvOx8uTqjIZAOZmZtTx8CA6VlFcTtf/lBRu3LlL13ZtAfBr0Ry5UolcGadlV8fDg6qurhr92rVq6vhQsv4durVrV6jfolBfWaq+d62axCiUOnr6SE5O4vatG3To2AWANm3bo1DIUShidWy9vGsjc3MHwMzMDA8vb2JjS046k9PTuS2X0+HVBmrtV15GkZSMIilJx/avu/eISUikQ8NXDfL7EfGX/yArLq5Um2od/Yg+eYrsRHW5t/eEU6Nr5zK1n0b8k1LTuHn/Pl2aNwegfaNGxCbEE5uQoGVnYWaGaaVKgHrkN1uVg4kBC+AnJCZy7do1evboAUDnTp2IjokhOiZGx/bo0aN07NABR0dHJBIJAwcM4PCPP5ZZRmJiItevX6N7d38AOnboSExMNDF6yrCzs6Nhw4ZYWliWqfvI/8jIa/Qq9L9L50480OP/T0eP0qljB5wKfR80YAAHD5ftu7H1QR2fyGvX6OH/uA5iYmL0xufoMe06GNC/9Dowtv/G7kNB3Qf9c/smvh3UfVCr1u1RKmJR6umDPL1qI5MV6YM8vVAoSu6DABKTErlx4zrdunUHoINfR+TyGORy3fjb2trx6quGn5/GRmJi8tQ+Lyov7pE/Y9LS0li6dClffvklI0eOxMvLi7Zt2/Luu++ydetWsrKy2Lx5M/Xq1aNjx4589dVXbNmyBUVh59OxY0eGDRvGSy+9xEsvvcTq1avJzMzk5MmTgPp2pEwmo3PnztSoUYPmzZszevRoABwcHKhUqRI2NjbIZDJkhZ1X1apV+fTTT2nYsCGenp589NFHdOvWje+++65Cj12ZkIhjFXvNj7pEIsHFwRFlsR9+AHlcPO/MCOD1Dz9CamlB7w5+Zeor4uNxcnDQ0pc5O6MollwXJSEpiYiff6Z10yZl6yck4GSv7b+rkxOK+FL0k5M58cuvtGrU6An0dePzb/QB4uOUODg4UalIGc7OrsQpS//hSkpM5OyZkzRt1qJk7ZRUHGxstLXt7IhLSdGye6hSsfbQIca9ZthobHmxkrmSEfv4hzRTHotVYbJaGk8j/nFJSTja2WnFyMXeAWVioo5tbEICY0Jn0/ezz5FaWtCzbduyjyE2FmdnZ83Fo0QiQSaTEatnpFweG4tbkekW7u7uyGN1ExCdMpQKnJx0y9B3AVVeYvX47yaTaS7UNXbyWNyL+F7V3Z1YA3w3tj5ArEJPHbjKkOu5cJTHxuIm066D2FLiaGz/jd2HAiTEx+Hg4KjVBpycXYiLK/0CMikpkXNnT9G4SfNS7ZQKBU5OTloxcnWVEWvAAITg/x+R/D4jIiMjyc7OplOnTnq/e/XVV5FKpZptbdq0IT8/n+vXrwOgVCp57733qFOnDnZ2dtjZ2ZGenk5UVBQAAwcOJCsrC09PT0aPHs3evXvJzc0t1ae8vDxCQ0Np0KABjo6OWFtb89NPP2k0DSE7O5vU1FStT7ZKpWNXfOyqgAK9em7OTqwPCWbPsiXk5OZy6vwFg/yQFCuhoEC/PkB6ZiafhIQyvF9f6np5GaRf/ABK08/IzGTyvPm88VpvfDw9DNQv5n8J8Xmk//m8L3nz9dcM19ctAko5BoDMjAyCA6fSf8AQvL3rlK6ts0VXe8OPP9GzeXOcbG3L9PVfU/SYyjOP7lnEv4QyZI6OrJk2lV1z56DKzeX0pcv/roBS6rfoHMPSzuWyizB837K1DWzDRX0vpZ6etr7eMkrZX8vWgDgaPT7G7kP1lFGWe5mZGcwOnk6f/oPxKqMP0qdfkeenUZFInt7nBUU88PaMsLQs+fZKQUFBiRPeH20fNWoUcXFxLFmyhJo1a2Jubk6rVq1QFSaa1atX5/r16xw5coSjR48ybtw45s+fz8mTJ6lcwsMyCxcuZPHixSxZsoT69esjlUqZMGGCRtMQ5syZQ1CxuWefvPM2n777juZvF0cH4pKSyM3Lw7RSJQoKCohLTMTF0bFEXSsLCzq2aMGRc+fo1LLkUUcAVycnlAkJWvqK+HhcnZ10bDMys5gQGES75s14o8/rBh2jq6MjcQmJWvrKhARcnXT1M7Oy+GTOXNo2bcKQXj3Loa/tvzI+AVcn3fhkZGUxafYc2jYpW//Y0R8J36sexff17UR8fDx5eXlUelQH8UqcXfSPjGZmZhIwYzLNW7amb79BpZbjZGdLfGqqtnZKKs52dlp2V+9Fcf7GTXacOIkqN5f0rCzGLfuKleM/LEG5fGTGKpAWGfWykrmSacCoj7HiXxRne3vik5K1YqRMSsLFwaHEfSwtLOjQpAnHfv+djs2a6nz//YEDbPnmGwC6d++OUqkkNzcXU1NTCgoKiFUokBV7oA7ATSbTuhUvl8txK7wbVJyDB39g23b13OSuXbrplKFQKHB11b9veZDJZCj0+O9WzH+Zm7bvMTFyzZ2sZ6H//YEDfLOtsA66dkep0I1P0RHeR7jJZMQUuR0fI5cjKyWOxo6PsfrQ4xE/sT98FwDt2ncgIUG7D4qPV+LsrP/B2KzMTIJnfkGzFq14vc9AvTaHDh1kx45tAHTu0hVlnHaMlEoFMgPu/gj+/xEjv8+I2rVrY2lpybFjug8Ovfzyy1y+fJmMjAzNtrNnz2JiYkKdOuqr3dOnTzN+/Hh69OjBK6+8grm5OfHFbrtbWlry2muvsWzZMk6cOMG5c+e4cuUKoJ43lVfsqffTp0/z+uuvM2zYMF599VU8PT25efNmuY5rypQppKSkaH0+GjFcy8be1pbaNWtw5OdzAJw8fx6ZkxNuxTrW6MIfDkAz6utVXftpY304VKmCj6cHh0+cACDi53O4ubjgXqzTy8xSd9otGzXinSGDDT5Gezs7anvU4qfCB49O/PobMmdn3FyctfUfPuST2XNp3qABo/r3K5d+HY9a/Hj6dKH+r8hcnHErtlqCWn8OLV59lbcG9C9Tt1PnbixfsY7lK9YxYNBQPL28OR5xBICzZ07h6iLTm7hkZWUxc8bnNG7SjKFvjCiznCrW1ni6uXH8jz/V2n9fxbVKFVzt7bXsvvpwHBs+mciGTyby+aAB1HJ1rbDEF+DB8ZNU9W2PuYO6XK9+fbh/5GiZ+xkr/lpl2NrgXb06R377DYBTly4hc3BEVuwCMCYujtzCdpqTm8uZy5fxLLYqyiN69+rFzh072LljB2+PGkVdHx9+OHgQgKPHjuHu5kZVd3ed/Tp36kTE8eMkJCRQUFDAd7t20a1bN71l9OjRk2+2bOObLdsYMWIkPnV8OHz4EAARxyNwc3PHXU8Z5cXRwYG6Pj4cKPT/yNFjVHXX9b9Lp04cizhOfKHvO3ftwr8E35+Gfu9evfh22w6+3baDt0aNwsfHh4OHtOtAX3w6ddSug127d9Gta8nlGDs+xupDO3TsyuJla1i8bA39BgzFw9Obk8fVfdC5n0/h4irDpYQ+KDjwCxo1bsagIcN1vn+Ev38PNm36hk2bvmH4sBHUqePDjz8eBuD4iQjcZG64uT35+WlsxJxf4yMp+M/cB/j/IygoiKVLl7JkyRLatGlDXFwcf//9N0OHDsXb25vWrVsTGBhIXFwc7777Lu3atSMsLAyARo0a4ezszNKlS0lNTeWzzz7j/PnzzJ49mwkTJhAWFkZeXh4tWrTAysqKDRs2sGjRIu7fv4+joyNdu3bF0tKSlStXYm5ujpOTExMnTmT37t3s2LEDe3t7Fi1axM6dO+nQoQPhhU8I+/n50bBhw3KtERz7i+4KB1FyOXPWric1PR2ppSVTRr+LR7WqfLl+A20aNaJN40b8cPIU3/34EyYmJuTl5dHo5Zd4f/BgzM20R64tiiVVAPceRBO8dBkpaWlIrSyZOeFjPGvUIHT5V7Rr3pz2LZqzced3rN2+Q2v5nk5t2vDWIO1RhZysLF3/Y2IIXfk1KelpSC0tmTbufTyrV2fu12to27QxbZs2ZdOevWzYtVtriawOLVswsl9fLS19o/z3YmIIXbGK1PQ0rCytmP6BWn/O16tp27QJ7Qr113+3S0u/Y6uWOvpJNvpHOh48iGLxwnmkpaViZWXFxE++oGZN9W37ZUvm06Jla1q0bMO3279h29YwrWXQ2rb1Y/DQYeo/zus+3f0gLp7Fe/eSlpmFlbk5E/v1paarC8vC99HCx4cWL9XVsv/zzh02HP5J71JnlxbpPmXe+NNJuLdvi4WDA9kpKeRmZnFo4BCaTp1MzOkzxJxWr7rg+XpvfIa9icTEBOWFC1yYt0DvUmcdVy/X+rsi4w/wUM989vuxCuZt3kJqRgZSCwsmjxxOLXd3FmzZSusG9Wn9agMOnv2Z3cci1G0gP49GPj6M7ddXZ6kzpxatdPTv3r3LjJkzSU5JwVoqJSQ4GO/CW9KBwcH4+fri5+sLwO49e9gYFkZ+QQHNmzVj2pQpWneIHqr0Lw93795dgkOCSUlJQSqVMjNgJp6e6jJCQ2fRrl072rf3RaVS0a9/X3JyVKSnp2Nv74C/vz8fjFNf7EjNK+lo37l7l+kBav+lUimzQ9T+BwQF08HXlw5+at937dnD+rAw9RJhzZoxY+qUEu9uGUs/p4TV8+7evUtA0ExNfEICg/EqrIOgkGB82z+ugz179xC2SV0HzZqql5urbKoup7JueCrU/4z7ulPbKrIPBYiR2Ohsi35wn2VLHvVBUsZPeLzc4oplC2jWojXNW7Tmu2+38u32TVrLoLVu48vAwW9q/nZ1sNY9hnv3mBUarF5KzUrK9Okz8Sxcam7OnFDatm1Hu3btUalUDBzUj5ycnMLz057u3fx5//0PNFqOTlV0K8FIyH82bEWXisCtddnPEPw/IpLfZ0h+fj5z5sxh7dq1xMTE4ObmxnvvvceUKVO4cuUKH3/8MefOncPKyor+/fuzaNEirK3VDfzSpUuMGTOGK1euUKNGDWbPns2nn37KhAkTmDBhAuHh4cydO5fIyEjy8vKoX78+s2bN0swx/uWXXxg7dizXr18nOzubgoICEhMTefvttzl27BhWVlaMGTOGqKgoUlJSKjz5rUj0Jb8Vib7ktyIx9pqOJSW/FYae5Lci0Zf8VjTFk9+KRl/yW5HoS34rkpKS34pCX/L7X6Kk5Lei0Jf8ViT6kt+KRl/yW5HoS34rkqeZ/Br7N7Mospatn1pZzxMi+RUYHZH8lo5IfktHJL9lI5LfZ4tIfstGJL+GI5Jf4yMeeBMIBAKBQCB4XniBV2F4Wry4s50FAoFAIBAIBC8cYuRXIBAIBAKB4DnhRV6F4WkhIiwQCAQCgUAgeGEQya9AIBAIBAKB4IVBJL8CgUAgEAgEzwkSieSpfcrLypUr8fDwwMLCgiZNmnC68GVA+tizZw9dunTB2dkZW1tbWrVqxY8//qhlExYWptevhw8fltu38iCSX4FAIBAIBAJBqXz77bdMmDCBadOmcenSJdq1a4e/vz9RUfqXyjt16hRdunTh4MGDXLhwgQ4dOtC7d28uXbqkZWdra4tcLtf6WFhYGPVYxANvAoFAIBAIBM8Jz+sDb4sWLeKdd97h3XffBWDJkiX8+OOPrFq1ijlz5ujYF38Z1uzZs9m3bx/ff/89jRo10myXSCTIZLqvtTYmz2eEBQKBQCAQCARGJTs7m9TUVK1Pdna2jp1KpeLChQt07dpVa3vXrl35+WfDXsqRn59PWloaDg4OWtvT09OpWbMm1apVo1evXjojw8ZAJL8CgUAgEAgEzwsmJk/tM2fOHOzs7LQ++kZx4+PjycvLw9VV+42hrq6uxMbGGnRYCxcuJCMjg0GDBmm21a1bl7CwMPbv38/27duxsLCgTZs23Lx588liWAZi2oPA6MScPGFU/Zz0DKPqV7IwN6q+pZOzUfXrDBlqVH1V6zZG1bf38TGqPkDE2I+Mqu/4cm2j6rs2b2lU/bikdKPqW8mqGFVfkpdrVH2Th8Z9BXqelXFf3ZsulxtVHyDGzLhvLbO3sTSq/v8rU6ZMYdKkSVrbzM1L/s0r/pBcQUGBQQ/Obd++ncDAQPbt24eLi4tme8uWLWnZ8nH/1aZNGxo3bszy5ctZtmyZoYdRbkTyKxAIBAKBQPCc8G9WYfi3mJubl5rsPsLJyYlKlSrpjPIqlUqd0eDifPvtt7zzzjt89913dO7cuVRbExMTmjVrZvSRXzHtQSAQCAQCgUBQImZmZjRp0oQjR45obT9y5AitW7cucb/t27czatQotm3bRs+ePcssp6CggMuXL+Pm5vbEPpeGGPkVCAQCgUAgeE54Xld7mDRpEsOHD6dp06a0atWKNWvWEBUVxXvvvQeop1BER0ezefNmQJ34jhgxgqVLl9KyZUvNqLGlpSV2dnYABAUF0bJlS2rXrk1qairLli3j8uXLrFixwqjHIpJfgUAgEAgEAkGpDB48mISEBIKDg5HL5dSrV4+DBw9Ss2ZNAORyudaav6tXryY3N5cPPviADz74QLN95MiRhIWFAZCcnMyYMWOIjY3Fzs6ORo0acerUKZo3b27UYxHJr0AgEAgEAsHzguT5HPkFGDduHOPGjdP73aOE9hEnTpwoU2/x4sUsXry4AjwrH89vhAUCgUAgEAgEggpGjPwKBAKBQCAQPCdITJ7eag8vKmLk9wXi7t27SCQSLl++/KxdEQgEAoFAIHgmiJHfF4jq1asjl8txcnJ61q4IBAKBQCDQw/O62sP/EyL5fUFQqVSYmZkhk8metSsAmNvbU7Nnb0wtLcl7mM29gwd4mBCvY2fh5Ez1Ll2pLJUCEmJOnSD5xvWy9R0c8erfH1MrKXkPH/LPnl1kxcVp2Tg1bIisdVvN32a2tqTdu8vN7dsM8N8Bj9dex9TSirzsh9z5fh8P43X9t3R2oUa37phKpUgkEh4cjyD5+rUy9c1s7ajaoSOVLCzIU2UTc/w42clJWjZWbu7U9O9BdkqKZtud8D0U5OWVqX8vKoqpQcEkJydjY2NDaMAMvDw9tWyiY2KYFhzCtevXqVG9Ojs3bypT9xFRDx4QMO9LklNSsLG2Jujzz/GsVVPLJiY2lplffsn1W7eoXrUaW1etNFj/vlzOrBUrSUlLw9pKyrQP3sejWjUtmwt//cXX27aTmfUQiYmEdk2bMmbIYIMWkG806WPc27VF6ubG4TeGk/rPHb12Hr17UnfEMCQSExTnL3Bx/kKD4g9g6eLKy+++i5m1NTmZmURuWE9GTIyOnffAQTg2aEBBfj656elEbgojS6ksU/9eVBRTZ858XMeBgfrrODCQa9euUaNGDXZ+841Bvmv2j37A4oVzSU1NQSq1ZuKkydSoWUvH7o/LF9kUtpaszCwkJhJatmzD8JHvlFoX9+7dY1pAgMb/WUFBeHl56djt2buX9Rs3kl9QQIvmzZk+ZQqmpmX/tN2LimJqYCDJyepzNDRwZgnxCVK3gRo12Lllc9lBeaR//z4zQmeTlJyCjY01IVOn4uVRS1tfLicgdA7Xbt6kRrVqbF+/1mD9R8cwIyCApMIYhQQF6RzDI/aEh7PxUZyaNWNqGXF6oFAyL2wTKenpWFtZ8vnIkdRy11579e/b/7B023YAcvPyqOftxYeDB2FWubJB/itjY9i8bgkZ6WlYWkkZ/s543KrW0LH759Y1dmz+GoC8vFy8ar/MwDdHU7mMch48uM+cOSGkpKRgbW3NF19Mp1YtDx07uVzO3LmzuHXrBlWrVmfNmg0G+S/47yIuL/6j+Pn58eGHH/Lhhx9SpUoVHB0dmT59OgUFBQDUqlWLWbNmMWrUKOzs7Bg9erTeaQ9///03PXv2xNbWFhsbG9q1a8ft27c132/cuJGXXnoJCwsL6taty8qVhicopVGjmz/xly9xde1qFL/9Qg3/Hjo2ElNTvPoNIObUSa6uW8PV9WtIv3/fIH2P119Hef53/ly6GPmZU3j06adjE3/5Mn+t/ErzyUlPI/6PPwzSr9mjJ3GXLvLX1yuIPfcztXq+pmNjYmqK18BBRJ84zt+rV/HX6lWk34/So6aLW3tfkiKvcuvb7SRcvoy7n59eu+zkJP7Z/Z3mY2jiFTRnLgP79uGH3bt4e/gwAmaF6thYS6WMf28s80KCDdIsyqzFS+jXsyfhmzcxcvBgghYs0LGRWlkx7q23CJ06tdz6X65Zx2udO7Fj6RLefL03c1at1rGxkUoJ/Hg8WxcvZP2c2Vy+GsmRs2cN0r8fcYKIMePIKOW1r1I3N+qNGU3E2HEcHDAYC0cHPHr3MvgY6o4cSczJE5ybOoWoQ4d4adRbOjZODRtRxacOvwXO5LeZASRGRuLVv79B+kGhoQzs25cf9u7l7REjCAjWrUdrqZTx77/PvFDd+jeEFcsX0d2/F2vWbaH/gCEsXTJfr521tQ2fT57BqjVhLFm2mr+u/MHJE8dK1Q4ODWVA//4c2LePt0aOJCAoSMfmQXQ0X61cyaaNGzm4fz8J8fHsCQ83yPeg2XPU8dmzWx2fkFm6fkuljB/3PvNCdb8ri5D5C+j/2mt8v2Mbb73xBoFz5+nV/2D0u8yZGVBufYCQWbPo368f34eH89bIkQTqiRGo47Ry5UrCNmzgwL59xCcksLeMOC3eupWe7dqyOSSIwV27smDzFh0br+rVWDn1C9bMmMa6gOmkpKVz4PRpg/3fvmklbfy6MXPuKjr792Xrxq/02lWr7sHkgAVMDV7CtJBlpKelcObE4TL1Fy6cR69er/PNN98yZMibfPnlbL12UqmUd94Zw/TpgQb7bkwkEslT+7yoiOT3P8ymTZswNTXl119/ZdmyZSxevJh169Zpvp8/fz716tXjwoULzJgxQ2f/6Oho2rdvj4WFBREREVy4cIG3336b3NxcANauXcu0adMIDQ0lMjKS2bNnM2PGDDZtMnwEUB+mVlZYuspI/PsvAJKvX8PcrgpmtnZadg4vv0JGTDQZ0Q/UGwoKyM3KLFtfKkXq5q5JZBP//htze3vMqlQpcR9p1WpUllqTfC3SIP+tZG4kXPkTgKRrkZhXqYKZXTH/69Un48ED0h/cf+x/Ztn+V7KwxNLJieSbNwBIvfMPlW1sqWxtU+a+hpCQmEjk9ev06t4dgC4dO/IgJoboYqOOdnZ2NG7YEEtLy3LpJyYlce3mTXp0Ub/GslP7dsTExhJT7LWYdra2NKpfH0sLi3LpJ6WkcOPOHbq1aweAX4sWyJVK5MVGQ+t4eFC18LWb5mZmeNeqSYyi7BFTgPjLf+jcKShOtY5+RJ88RXaiekT+9p5wanQt/dWdj6hsY4NNzZrEnjsHgPLCeSycnbFwdNSxNTGtjEnhCJeppYWmvNJISEwk8to1evVQX1R26dSp5Dpu1KjcdQyQnJzE7Vs36NCxCwBt2rZHoZCjUMTq2Hp510bm5g6o3xTl4eVNbGzJFxYJiYlERkY+9r9zZ6L1+H/k6FE6duyIk6MjEomEgQMGcOhw2UmRJj7+/mr9Th15EBNdchuwKF98EpKSuHbjJj27qmPT2c+XaLmc6GIXU3a2tjR+tUG528CjY7h27Ro9C2PUuVMnvTECOHr0KB07dMCxSJwO//hjidpJqancjLpPlxbqtVbbN25EbEICsfEJWnYWZmaYVqoEqEd+s3NUmBi4TFdaajL37/1D81Z+ADRq2pr4OAUJ8QodWzNzcyoVjlLn5eWSk6NCUkY5SUmJ3Lhxgy5dugHg69sBuVyOXM8Fra2tLQ0avIpFOetZ8N9FTHv4D1O9enUWL16MRCLBx8eHK1eusHjxYkaPHg1Ax44d+fTTTzX2d+/e1dp/xYoV2NnZsWPHDs3tozp16mi+DwkJYeHChfTrpx419fDw4OrVq6xevZqRI0f+a78r29iSk54OhaPUAKrUVMxsbVGlPr6Fb+HkRH5uLl79B1LZxpasOCXREcfKTIDN7OzISUuD/PzH+ikpmNtVQZWcrHcf5yZNiP/jMgVF9ilR37ZQX8v/FMxs7VClFPXfmfy8XLwHDcHM1pZMhYIHx46UmQBXtpaSk5mhpZ+TnkZlG2ty0tOKHWsVPPsNgIICkq5fI+nq32X6H6tQ4OzspLnlKZFIcJPJkMcqqOruXub+ZerHxeHs6Kj5UZRIJMhcXJArlbhXwLQbRUICTvb2WvquTk4o4hNwc3HRu09CcjInfvmVBVO+eOLyH2ElcyWjSEKfKY/Fqox33D/CwsEBVXKS1vn2MCEBC0dHHiY8TjDi/7iMfV0f2i1eQu7Dh2QnJXFx3twy9dV17KynjmMrpI4B4uOUODg4UalIPTg7uxKnVODqWnI9JyUmcvbMSQKDSz6O2NhY/f7L5Vr+y+Vy3Iu8BrWquzvyWN3kW0dfX3xcKy4+CoUSZydHLX2ZqwuxCgVVK+i1rQo9MZLJZMQWixGAPDZW63Wx7mXEKS4pCccqdlp16+JgjzIxEZmT9gVabHwCAau+Jjoujpb16tGzXVt9kjokJcZjZ2+vVYaDozOJCfE4Oum2o4R4BauXzSFOKadegya09etaqr5SqcTJSbufc3V1RamMNfqrc58YMefX6IgI/4dp2bKl1m2LVq1acfPmTfIKb303bdq01P0vX75Mu3bt9M6biouL4/79+7zzzjtYW1trPrNmzdKaFlGc7OxsUlNTtT6qwpFkbQq0/9Rz90ViUglbD0+ifjzEtbD15KSmUr1rt1KP6bF6QdlGhZhUroxjvfrEXThv8D46/utBYmKCnacX9w79wNV1a8hJS6VGN/9/JS/RE6CH8XHc2LqFf/bsIuqnwzi8/Aq2nrpzIvX6VkyvoMDweBmkX+x2Wnnqw8ACDNbPyMzk83lf8ubrr+HjqTvf74koGrdy3kIsHnJ9tyBtatbEys2NM5MmcmbSRJIir1LnzWEG6evUQQXXsbqMYhvKKCMzI4PgwKn0HzAEb+86pdoa6n9Ru/IcYXHfK/wcLd5mKz78eg6i5EK04mTAuaDT55Swi8zJkTUzprHry7mocnM5felSmdpFS9EqohS/HJ1cmRq8hDlLwsjNzeXyhXNlqz+FNiD4byJGfv+PkUqlpX5f2q3O/MIRqbVr19KiRQut7x5dqetjzpw5BBWbdzamU0fGdumk+TsnLRUzGxt1x13YGZnZ2KJKTdXaT5WaQlrUPfUoMZB49W+8Bg4q9ZhAPcprZmunvnouPA4zOzuyU5L12ju88gpZcXFl3uYu6ldlG1tt/23ttEatH/mReveuepQYSPjrCrUHv1Gmfk56hvoBvyL6ptbW5KSla9nl5+Ro/p+bkUHKrZtYubmR+k/JFycAMldXFEolubm5mJqaUlBQQKxCgZvMsFHLspA5O6OMjyM3Lw/TSpUoKChAoYwrcVS2vLg6OhKXkKClr4xPwNVJd8pARlYWk2bPoW2TJgzp1bNCyn9EZqwCaZERJCuZK5kK3Vu2+niYmIiFvT0SExPN6K+5g4PWqC+AW5u2JEVeIzcrCwD52bO8OmFimfoyV1cUCoWeOn6ykfdjR38kfO93APj6diI+Pp68vDwqFdZDXLwSZxf951FmZiYBMybTvGVr+vYrvR3LZDL952ixETs3Nzet2/wxMTEGHaM6PvraQMU8EOzq6oIyLk5bX6lEZuCdgZL4/sABthQ+lNi9e3eUemIk0zOq6SaTEVMkTnK5vNRjdba3Jz4pSatulUlJuDg4lLiPpYUFHZo14divv9OxWTO9Nr+ejeDYj/sBaNqiHclJCVplJCXG4+BY+mpEFhaWNGnRlt/PnaJpi/Za3/344yF27twBQKdOnYmL046PUqnExeX5eOhb8GwRI7//YX755Redv2vXrl1qclqUBg0acPr0aXKKJFGPcHV1pWrVqvzzzz94e3trfTw8Sh49mzJlCikpKVqftzr4atnkZmaSqVDg8Eo9AKr41EWVmqKTPCZFRiJ1c8PEzAwAW09Pg55yz83IIFMeg9OrrwLq5FaVnFTylIfGTYi7eKFM3aL+ZylicazfAAD7ui+RnZKsNeVB7f/fSN3dNf7beXqTqSw7Ocp7mMXDhHiq1FaPjNl6eJKTlqYz5cHUykrzf5PKlbGpWVPvihPFcXRwoK6PDwcK50YeiYigqrtbhd0Od7C3x8fbm4NHjgJw7NRp3GSuFTLlAcDezo46HrX4sfDBmhO//orMxVknuc58+JBPZs+hxauv8tYAwx4SKw8Pjp+kqm97zB3sAfDq14f7hcdcFjlpaaRFRSFr1QoAlyZNeRgfr5P8ZsUpcXj5ZSSFbdqpYUMyoqPL1Hd0cKBu3bocOHgQgCPHjlHV7cnruFPnbixfsY7lK9YxYNBQPL28OR5xBICzZ07h6iLTO+UhKyuLmTM+p3GTZgx9Y4Rh/vv4PPb/6FGqurvr+N+5UyciIiKIT0igoKCA73btwr9b2XeHNPqHDqn1j0VQ1U1X/9/iaG9P3dq1+eEndWyOnjiJu0z2xFMeevfqxc4dO9i5YwdvjxpFXR8ffiiM0dFjx3AvoY47d+pExPHjJBSJU7dS4mRva4t3jeoc+fU3AE5dvITM0UFnykNMnPoiFyAnN5czly7jWa1qibot2nRkavASpgYvoWvP/lSv4clv504AcOn8zzg6ueid8hCnlJNXeAcxNzeHyxd+oWr1mjp23br5s379Jtav38QbbwzH27sOR46o5zafPHkcmczt+Z/yAEgkJk/t86IiKRD3Af6T+Pn5ceHCBUaPHs3YsWO5ePEio0ePZuHChYwdO5ZatWoxYcIEJkyYoNnn7t27eHh4cOnSJRo2bEhCQgI+Pj74+voyZcoU7Ozs+OWXX2jevDk+Pj6sW7eO8ePHM2fOHPz9/cnOzub8+fMkJSUxadIkg329OE/3CVtzBwdq9uilXuosW8W9g9/zMD6eGt17kHLrJim3bgLg8Eo9XFu2oiA/n5y0NKJ+PKQZSX1ETnqGjr6FkxOefftjamVFXna2eqkzpRKP1/uSdD2S5Gvq5cbM7R2o/8GHXPxyLvkqlV7/K1mY6/HfEY/er6v9V2VzZ/8+HsbHUbNnL5Jv3CCl8GE1x/oNkLVqrfH/7sEDOv5bOjnr6JvZVaFqhw5UMrcgP0dF9PEIspOScG/vR9q9u6Tdu4vDK/Wwf/kVKMgHiQmp/9zWO3WjzpChOtvu3LvH9KBgklNSkEqlzJ45E28vTwJmhdKhfTs6tG+PSqXCv18/VKoc0tLTcXSwp5e/PxM/+EBLS1XseADu3r/PzHlfkpKailQqJXjy53jVqkXwgoX4tm6Fb+vWqFQqXhs+AlVODukZGThUqULPLp356N13tbSy9CyBdy8mhtAVq0hNT8PK0orpH7yPZ/XqzPl6NW2bNqFd06Zs2rOX9d/t0loCrWOrlozs11dHL2LsR1p/N/50Eu7t22Lh4EB2Sgq5mVkcGjiEplMnE3P6DDGn1atGeL7eG59hbyIxMUF54QIX5i3Qu+KG48u1dbZZyWS8/PY7VLa2JvdhFlfXrSMjJoa6o94i/vIl4i9fRmJqis+bw6hSpw75ubmoUlK4tilMJ0luv2y5jv6du3eZHhj4uI6DgvD28iIgOJgOvr508PVV1/Hrr6NSqQrr2IFePXow8SPteNxVpuroAzx4EMXihfNIS0vFysqKiZ98Qc2a6ovjZUvm06Jla1q0bMO3279h29YwrWXQ2rb1Y/BQ9RSOmrIq+v0PCCCl0P/QkBC8vbyYGRSEn68vHQpXQNm1Zw8bwsLIz8+nRbNmTJ86VWcqlyRPd+rVnbt3tdtA4Ex1fEJmqdvAo/j06VssPv5M/PBDLa28h1k6+nejopgROofklBSspVJCpk3F29ODwLnz8GvbBr+2bVGpVPQcPJScHBVp6Rk42NvTq1tXPn5vrLaYlbXe+N+9e5cZM2c+LiM4GO/C5eACg4Px8/XFz1c9+LB7zx42hoWRX1BA82bNmDZliiZO8b//qqN9PzaWeWGbSc3IQGphweS3RlLL3Z0Fm7fQ+tUGtH71VQ6eOcvuY8cwMTEhLy+fRj4+jB3QT+9SZ9fMdJNyhfwBW9YvIyM9DQtLS4a/OwH3wqXOtm5YTv1GzWnQqAU/nzpCxE/7C8vJw+elBvQdPIrKlc00Wq946PajUVH3mDt3FqmpqVhZSZkyZToeHuql4L78cg5t2rSlTZt2qFQq3nhjIDk5OWRkpFOlij1du3ZnzJj3NVpubrp3lozFo9+/p4Gdt27f9CIgkt//KH5+frzyyivk5+ezbds2KlWqxNixY5k9ezYSicSg5Bfgzz//5LPPPuPMmTNUqlSJhg0bEhYWhmfhWpHbtm1j/vz5XL16FalUSv369ZkwYQJ9++omECWhL/mtSPQlvxWJvuS3ItGX/FYk+pLfikRf8luR6Et+K5riyW9Foy/5rUj0Jb8VSUnJb0WhL/mtSPQlvxWJvuS3Qikh+a0o9CW/FY2+5Lci0Zf8ViRPM/lN/efWUyvL1tP7qZX1PCHm/P6HqVy5MkuWLGHVqlU63xVf2QHUa/8Wv9Zp0KABP5ay5M0bb7zBG2+UPU9VIBAIBAKB4L+ASH4FAoFAIBAInhPE642Nj4iwQCAQCAQCgeCFQYz8/kc5ceLEs3ZBIBAIBAJBRfMCr8LwtBARFggEAoFAIBC8MIiRX4FAIBAIBILnBIlJ+d4WKSg/YuRXIBAIBAKBQPDCIEZ+BQKBQCAQCJ4TXuQ3rz0tRIQFAoFAIBAIBC8MYuRXIBAIBAKB4DlBrPNrfESEBQKBQCAQCAQvDGLkV2B0MuSxRtW3krkaVT8nNc2o+tmmSUbVp7KZUeUlppWMqv8wIcGo+gCOL9c2qn7C1ZtG1S8w8khRpUrG1Zfk5RpV39hUktoYVb+gbJMnQvHzWSOXAJdrdDaqfmVT456jbm6ORtXXQqz2YHTEyK9AIBAIBAKB4IVBjPwKBAKBQCAQPCeI1R6Mj4iwQCAQCAQCgeCFQSS/AoFAIBAIBIIXBjHtQSAQCAQCgeA5Qbze2PiIkV+BQCAQCAQCwQuDGPkVCAQCgUAgeF4QD7wZHRHhCsDPz48JEyY8azfKpFatWixZsuRZuyEQCAQCgUDwzBAjvy8Qv//+O1Kp9Fm7IRAIBAKBoATEnF/jI5LfFwCVSoWZmRnOzs7P2hUNFk7O+Lw5DFOplLysLG5s20qmQvtNcC7NmlHVr4Pmb3O7KqTcvk3kxvVl6pvb21Or52uYWlmS9zCbuz98z8OEeF0/nJ2p0aUbplZSJBIJ0SePk3zjetn+OzriNWAQplIr8rIecnv3d2QplVo2To0a49amreZvMzs70u7e4cbWbwzyv2bP3phaqv2/d/CAfv+dnKnepSuVpVJAQsypEwb5f+/ePaYGBJCcnIyNjQ2hQUF4eXnp2O3eu5f1GzeSX1BAy+bNmT5lCqamZXcb9x48IGD2XJJTUrCxtiZoymS8atXSsomRxxIwdy7Xb96ierWqbFuzukzdRzxQKpm3aTMp6RlYW1ry+cjh1HJz07L5+59/WLp9BwC5eXnU8/Liw0EDMatcuUx9SxdXXn73XcysrcnJzCRyw3oyYmJ07LwHDsKxQQMK8vPJTU8nclOYznmgj0aTPsa9XVukbm4cfmM4qf/c0Wvn0bsndUcMQyIxQXH+AhfnL6QgL69MfVDX8bQidTyrhDreU6SOW5SjjgGiox+wcP5sUlNSkFpbM+nTKdSsWUvHThErZ+GCudy+dZOqVauxbMWasv2PimJqYCDJyepzKDRwJl6entrlx8QwLTCIa9evU6NGDXZu2WyQ309F39htzMj1a27vQK3er2FqaUVe9kPuHtjPw3h9fagLNbp2w1Rqre5DT0SQfP1amfoAVWws8G/tjaW5KdmqPA6fu0VCSpaOXXVXW/p1qEtS6kPNtm0//kVuXn6p+orYGDauXkx6eipWVlJGjZmAe9UaOna3b15ja9hKAPLycvGu8zJDho+lsgF9heC/iZj2UMEkJSUxYsQI7O3tsbKywt/fn5s3tV9tunbtWqpXr46VlRV9+/Zl0aJFVKlSxSD9wMBAGjZsyOrVqzUaAwcOJDk5WWMzatQo+vTpw5w5c3B3d6dOnTqA7rSH5ORkxowZg6urKxYWFtSrV48DBw5ovv/5559p3749lpaWVK9enfHjx5ORkfGvY1OU2oMGIz93lguzZ/Eg4hi1hw7VsVH+/juX5n+p+ahSU1FeOG+Qfo3uPYj/4xJ/r/ma2F/PUbNHTx0biakp3v0GEn3qBFfXrebvdatJv3/fIH2PPv1Q/v4bfyxaSMzpk3j2669jE3/pIle+Wqb55KSlEX/5smH+d/Mn/vIlrq5djeK3X6jh30Ov/179BhBz6iRX163h6vo1BvsfFBrKwP79+WHfPt4eOZKAoCAdmwfR0Xy1ciWbN27k0P79xMfHsyc83CD90AWL6N+7F/u2bmHk0CEEzZuvYyOVWvHBO+8we8Y0gzSLsnjrdnq2bcPmoJkM7tqZBVu26th4VavGyi8ms2baVNZNn0ZKejoHTp8xSL/uyJHEnDzBualTiDp0iJdGvaVj49SwEVV86vBb4Ex+mxlAYmQkXv11zwN93I84QcSYcWTI5SXaSN3cqDdmNBFjx3FwwGAsHB3w6N3LIH2A4NBQBvTvz4F9+3irjDretHEjB/fvJ6EcdQywfMkC/Hv0Zt3GrQwYOJQli+bptbOykjJi1DtMnjLDYO2g2XMY2LcvP+zZzdsjRhAQMkvHxloqZfy495kXqvvdM9c3chszdv3W8O9B/KWL/L16JbG/nKNmj946NhJTU7wHDCT65AmurlnF32tWkX4/yiB9gK4tPPnzpoIN+y/z+9VourXUTd4fkZCSxeaDf2o+ZSW+AN9sWEH7Dt2YNX813Xr2Z/O6ZXrtqtWoxdSgRQSELmPm7K9IT0vlVMQhg4+jopFITJ7a50XlxT1yIzFq1CjOnz/P/v37OXfuHAUFBfTo0YOcnBwAzp49y3vvvcfHH3/M5cuX6dKlC6GhoeUq49atW+zcuZPvv/+ew4cPc/nyZT744AMtm2PHjhEZGcmRI0e0EtpH5Ofn4+/vz88//8w333zD1atXmTt3LpUqVQLgypUrdOvWjX79+vHnn3/y7bffcubMGT788MN/GZnHVLa2xrp6NZTn1Yls/B+XsXBwxNzBocR9rGvUoLKNDYl/XSlT39TKCitXGQmFtsnXr2FuVwUzOzstO4eX65Ee/YCMBw/UGwoKyM3KLFtfKkXq7k7c5UsAJP71F+b2DphXsS9xH2m1alS2tiYp8qpB/lu6ykj8+y9t/22L+/8KGTHRZESXz/+ExEQiIyPp1UOdUHfp3JkHMTFEFxvZ/OnoUTp17IiToyMSiYRBAwZw8PDhMvUTk5KIvHmDHl26ANDZtz0xsXJi5Noj+3a2tjRqUB9LC8syNYuSlJrGzfv36dK8OQDtGzUiNiGe2IQELTsLMzNMC8/n3Lw8slU5mBhwO7GyjQ02NWsSe+4cAMoL57FwdsbC0VHH1sS0MiaFo0OmlhZkJyYZdAzxl/8gKy6uVJtqHf2IPnlKo3l7Tzg1unY2SF9fHUfrqeMjR4/SsUgdDxwwgEMG1DFAclISt27dpGMndT23beeLIjYWRaxuQm9ja0u9eg2wsLAw3P9r1+jl76/2v1NHHsRE6/hvZ2dH44YNy30OPRV9I7YxY9evqZUVVjK3x33otUjMq+jpQ1+pR3p0NBkPCi+6CwrIzSy7DwKwMjfFxUHK1TvqdnAjKhE7a3NspeYG7V8WqSnJRN27TYs26ruHjZu1Jj5OQXycQsfW3NxCMxqel5uLSpWNxESkR//PiGkPFcjNmzfZv38/Z8+epXXr1gBs3bqV6tWrEx4ezsCBA1m+fDn+/v58+umnANSpU4eff/5Zb4JaEg8fPmTTpk1Uq1YNgOXLl9OzZ08WLlyITCYDQCqVsm7dOszMzPRqHD16lN9++43IyEjNyLBnkVt+8+fP54033tA8yFe7dm2WLVuGr68vq1atMvhHTB/mVexRpaRC/uMr9+ykJMyr2JOdmKh3H1nLVijP/05BftlX+2Y2tuSkp0FBgWabKjUVM1tbVCkpmm2WTk4U5OXhNWAQZja2ZMUpeHDsWJkJpLldFVRp2v6rkpMxq1KF7GT9yY9L02bEXbpkkP+VbWzJSU/X73/qY/8tnJzIz83Fq/9AKtvYkhWnJDqibP9jY2NxdnbWdPYSiQQ3mQy5XE5Vd/fHdnI57kWmElR1dyc2NlZHT0dfqcTZ0QlT00oafZmLK3KlAnc3WZn7l0VcUhKOdnaaCzWJRIKLvQPKxERkxRLU2IQEAr5eTXRcHC3r1aNn27b6JLWwcHBAlZykVVcPExKwcHTkYZEEO/6Py9jX9aHd4iXkPnxIdlISF+fNfeLje4SVzJWMIvHOlMdi5epq0L6G1rFcTx3LDahjgLg4JQ6OjlSq9LgMZxcXlEolrjK3MvYuw3+FQtd/Vxny2Fgt/59bfWO3MSPXr5mtvj40BTNbu2J9qDMFubl4DRyMma0tWUolD44dMSgBtpGak5GpKloEqRkqbKVmpGZk69g72FoyvEd9Cgrgr9tKLt/QTWKLkpQYT5UqDlr9hIOjM4kJcTg567aj+DgFK5eEEqeQU79hU9p36FbmMRgNiZjza2zEpU0FEhkZiampKS1atNBsc3R0xMfHh8jISACuX79O88IRq0cU/7ssatSooUl8AVq1akV+fj7Xrz+e61m/fv0SE1+Ay5cvU61aNU3iW5wLFy4QFhaGtbW15tOtWzfy8/O5c0f//ESA7OxsUlNTtT6qXN05igVFezyAUtq6SeXKODdqhOKXX0o20img2N969CWVTLD18CTq8CEiN65DlZpG9a4GdngG6D/CpHJlHOs3IO7C74Zp6ytAn/8mldT+/3iIa2HryUlNNdh/SbHOVac+HhuW5FEZ+tp/l6j/L9H9bdCvL3N0ZM20qeyaOwdVbi6nL102SF/n9NTzY2RTsyZWbm6cmTSRM5MmkhR5lTpvDjNI32CKOlLOH0RD61jyL+u4PGX8G3TOoXJ796z1jd3GjFy/Osa655+kkgm2np5EHTpI5Pq1qFJTqd7N/18XUdIprkjM4Os9F9hy8ArhJ6/zam1XfGro3onRdbBYeaWcn07OrgSELmP+V5vJycnh4u/nytYX/GcRyW8FUlLDKigo0HRARf9f1n6G8kivqG5ZqzpYWpZ+Gy8/P5+xY8dy+fJlzeePP/7g5s2beh+qeMScOXOws7PT+nxzXnuebnZyEuZVqkCR20rmVexLHDV1atiQTIVC54G4klClpWJmY6PVk5rZ2KJKTdW2S0khLequeoQDSPz7L6QGjPpkpySrb/8V8d/MrgqqIvOui+JQrz5ZcUqDHoQCyDHU/9QU0qLuqUeJgcSrf2PlVvaIm0wmQ6FUkpubC6jPv1iFArdi+8rc3Igpchs1JiZGc2ehVH0XF5Rx8eQWXvQUFBSgiFPi5mLYqGVZONvbE5+UTF7eY31lUhIupUybsbSwoEOTJhz7vewLkIeJiVjY22vd9jR3cNAa9QVwa9OWpMhr5GZlQUEB8rNnsa9b918elS6ZsQqkRerESuZKpqL00a5HGFrHbm5uWrfKY2JicCuljo8eOcwH773DB++9w6VLF4iPiyMv73EZ8XFxuLi4GHyMJfrv6opCocd/A86/50Lf2G3MSPX7CFWqnj6o2J0nKOxD790r0odeQepWch/6socTI3o0YESPBtSU2WFjZaaV8NpYmZGaodL1JycPVY66vadnqoi8G09VFxsdu3NnIgieNp7gaeOJ/PsySYkJWv1EUmI8Do6lP/htYWFJs5bt+e3nE6XaGROJRPLUPi8qIvmtQF5++WVyc3P59ddfNdsSEhK4ceMGL730EgB169blt99+09rv/HnDHuJ6RFRUlFaHee7cOUxMTEocxdVHgwYNePDgATdu3ND7fePGjfn777/x9vbW+ZQ2ojxlyhRSUlK0PsOaNtWyyUlPJz36AS6F251ebcjDxMQSpzy4tmhJbDlGfXMzM8lUKnCsVx+AKj51yU5J0bpdB5B4LRIrmTsmhcdj6+lpUIKam5FBZkwMzg0bAeBQrx7ZSUklT3lo0lQzv9lg/xUKHF6pp/FflZqi88OTFBmJ1M2t3P47OjhQ18eHAwcPAup5gVXd3XVu93bp1IljERHEJyRQUFDAzl278O9W9siyg709PrW9OXjkCABHT57CXSarkCkPAPa2NnhXr86RwnZ06tIlZA6OOlMeYuLiyC384cvJzeXM5ct4Vq1apn5OWhppUVHIWrUC1PX3MD5eJ/nNilPi8PLLSApvqzo1bEhGdPQTH98jHhw/SVXf9pg7qOeSe/Xrw/0jRw3a19A67typExFF6vi7Muq4c5furPh6PSu+Xs+gwW/g5V2biGPqej5z+iQurrInnvKg5f8h9UNHR45FUNVN1//nXt9IbcxY9fsIdR8U+7gPrfsS2SnJun1o5FWs3Ir2oV5kKUu+QLt6J17zwNpvV2NQJmXwsoc6Ga1Tw4GU9Gy9Ux6klo9XXahsaoJXVXuUSboPX7dq25GA0GUEhC6je68B1Kjpya9njwNw8fefcXRy1TvlQamQay4kcnNzuHT+Z6rWqFVaiAT/cSQFFX0/8gXEz8+Phg0bsmTJEvr06cPNmzdZvXo1NjY2fPHFF9y6dYurV69SuXJlzp49S/v27Zk/fz69e/cmIiKCadOmkZeXR1JS2Q/LBAYGsmDBAlq1asWCBQtITU3l3XffpXHjxmzfvh1QP3SXnJxMeLGnemvVqsWECRM083g7dOhAfHw8ixYtwtvbm2vXriGRSOjevTt//vknLVu25K233mL06NFIpVLNA3TLly8vV3xOTxivs83SxYU6b7yJqZWUvIcPubHtGzJjY6k9eCgJf13RPOxl4ehEo88+57eZM8jL1u0UQT0iVhxzBwdqPVoqLFvF3R/Uy/TU9O9J8s0bpNxSr8DhUK8+shatKCjIJyctjXuHD5KTlqallZOapqNv4eSE14CBmFpZkfcwm9u7dpKlVOLZtz9JkVdJuhap8aPBRx9zYU4o+SrdEQ0AMztbvf7X7NFL4/+9g9/zMD6eGt17kHLr5mP/X6mHa8tWFOSr/Y/68ZCO//U/mqCjf+fuXaYHBJCckoJUKmV2SAjeXl4EBAXRwdeXDn5+AOzas4f1YWEU5OfTvFkzZkydqrP8T05qso7+3agoAubMIyU1FanUipApX+Dl4UHQl/PxbdMavzZtUKlU9H7jTVSqHNIzMnCwr0LPrl0ZP2a0llbiVd2HBO/HKpi3eQupGRlILSyYPHI4tdzdWbBlK60b1Kf1qw04ePZndh+LwMTEhLz8PBr5+DC2X1+9S51d/0Z7tQgrmYyX336HytbW5D7M4uq6dWTExFB31FvEX75E/OXLSExN8XlzGFXq1CE/NxdVSgrXNoXpJMkACVe1V3xp/Okk3Nu3xcLBgeyUFHIzszg0cAhNp04m5vQZYk6fBcDz9d74DHsTiYkJygsXuDBvgd6lzvpE/KSz7VEdpxTWcWhhHc8MCsKvWB1vCAsjPz+fFs2aMV1PHT+IS9XRB3hwP4qFC+aQlqpeSuqTz6ZQs5YHAEsWfUnLVm1o2Upd12+PeoOcHBWZGRnYVbGnU6euvPXOGACqO1jp9z8o+PE5GjhTfY6GzKJD+3Z08PVFpVLh36cvKpWKtPR0HB0c6NXDn4kGPJhbofqVdB+fqcg2pu9HuiLr98qShTr65g6O1Or1mroPUmVz9/v9PIyPo2aPXuo+9KZ64MShXgNkrVoX9kGp3Dv0g04fBHC8hu7Dmva2Fvi38sbC3BRVTh6Hfn681FnXlp7cfpDE7QdJNKoj49U6ruQXFGAikXAjKoGf/3ygpdWsju40iFj5A8LWLCE9PQ1LSyveGjMB92o1Adi8bhkNGregYeMWnDnxE0cP79P0FXVffpUBQ96icpGBHt/mhg8uPSk5afrbmzGobKP7+/MiIJLfCqBo8puUlMTHH3/M/v37UalUtG/fnuXLl1O7dm2N/dq1awkKCiIxMZFu3brRtGlTvvrqK+SlLHv0iMDAQMLDwxk7diyzZs0iMTGRHj16sG7dOuzt1SNEhia/iYmJfPrpp+zfv5+MjAy8vb2ZO3cuPXuqlwX7/fffmTZtmmbVCi8vLwYPHszUqVPLFR99yW9Foi/5rUj0Jb8Vib7ktyLRl/xWJPqS34pEX/Jb0RRPfiua4slvRaMv+a1ISkp+Kwp9ye9/Cj3Jb0Vi7B9pfclvRaMv+a1I9CW/FYlIfv+/EKs9VAAnTpzQ/N/e3p7Nm0tfCH306NGMHj1a629vb+9ylfn+++/z/vvv6/0uLCxM7/a7d+9q/e3g4MCGDRtKLKNZs2b89JNxf1QFAoFAIBAU4QWei/u0EMnvM2DBggV06dIFqVTKoUOH2LRpEytXrnzWbgkEAoFAIBD83yOS32fAb7/9xpdffklaWhqenp4sW7aMd999F4BXXnmFe/fu6d1v9WrDX/8qEAgEAoHgv4gY+TU2Ivl9BuzcubPE7w4ePKh5G1xxXF1dsbGxITAw0EieCQQCgUAgEPx/I5Lf54yaNWs+axcEAoFAIBA8K8TAr9ER6/wKBAKBQCAQCF4YRPIrEAgEAoFAIHhhENMeBAKBQCAQCJ4XxFJnRkeM/AoEAoFAIBAIXhhE8isQCAQCgUAgeGEQya9AIBAIBAKB4IVBUlBQYOzXhgtecLIzMp+1C09EAcZtIvn5RpWncr7+daMrroDKRpXPewo9VCUjd4MFJsYdZwjv2NWo+n0jjPua85zkJKPqRz807hzKWjI7o+oXqFRG1cfM3Lj6QL6R21glI8+TrWxlZVT9ouRkPr3fzKd5XM8TYuRXIBAIBAKBQPDCIJJfgUAgEAgEAsELg0h+BQKBQCAQCAQvDCL5FQgEAoFAIHhOKHiKn/KycuVKPDw8sLCwoEmTJpw+fbpU+5MnT9KkSRMsLCzw9PTk66+/1rHZvXs3L7/8Mubm5rz88svs3bv3X3hWPkTyKxAIBAKBQCAolW+//ZYJEyYwbdo0Ll26RLt27fD39ycqKkqv/Z07d+jRowft2rXj0qVLTJ06lfHjx7N7926Nzblz5xg8eDDDhw/njz/+YPjw4QwaNIhff/3VqMciVnsQGB2x2kPpiNUeSkes9lA2YrWH0hGrPZSBWO2hTJ7mqgiqp7jag1k5jqtFixY0btyYVatWaba99NJL9OnThzlz5ujYT548mf379xMZGanZ9t577/HHH39w7tw5AAYPHkxqaiqHDh3S2HTv3h17e3u2b9/+bw7JIMTIr0AgEAgEAoGgRFQqFRcuXKBrV+0L7a5du/Lzzz/r3efcuXM69t26deP8+fPk5OSUalOSZkUhkl+BFn5+fkyYMKHE72vVqsWSJUuemj8CgUAgELxIFBQ8vU92djapqalan+zsbB2f4uPjycvLw9XVVWu7q6srsbGxeo8jNjZWr31ubi7x8fGl2pSkWVGI5FegxZ49ewgJCXnWbggEAoFAIDAyc+bMwc7OTuujbwrDIyTFppcUFBTobCvLvvj28mpWBKZGVRf853BwcHgq5dyLusf0gACSk5OxsbEhJCgIL08vHbs94XvZsHEj+QUFtGjWnGlTpmBqathpa2gZ/7ace1FRzAgIIElL37ME/XA2avSbMdVA/YDAQv+tbQgKLFl/b3g4GzdtpCC/gObNmzFlcun696KimBoUrIlNaMAMHe3omBimBYdw7fp1alSvzs7Nm0r1V0v/XhRTi8Q+NCgILy9d33fvDWd9YVxaNm/G9HLVr/Hify8qiqkzZz72PzBQf3wCA7l27Ro1atRg5zffGOS3pox795hWJEazgoLw8tLTBvbu1cSoRfPmBsWo0aSPcW/XFqmbG4ffGE7qP3f02nn07kndEcOQSExQnL/AxfkLKcjLM9h/3TrW9X93Ef9bGug/wL0HDwiYO5fklFRsrKUETZ6MV61aWjYxsbEEzJ3H9Vu3qF61KttW6z5JXhrR0Q9YvHAuqakpSKXWTJw0mRo1a+nY/XH5IpvC1pKVmYXERELLlm0YPvKdUn+gjd0G7kVFMS045PH5M2MGXp4e2scXE8P0kBCuXb9BjerV+XZTWJm6j/033vlZ9BiM2oca+Rw1FsZ+zqQoU6ZMYdKkSVrbzM1154A7OTlRqVIlnRFZpVKpM3L7CJlMptfe1NQUR0fHUm1K0qwoxMivQIui0x6USiW9e/fG0tISDw8Ptm7dWmHlBM8KZUC//nwfvo9RI0cyMyhIx+ZBdDQrVq5k04aN/LBvP/EJ8ewND6/QMp6knJBZs+jfrx/fh4fz1siRBJaiv3LlSsI2bODAvn3EJyQYpB86exb9+/Zj355wRo4YSVCIfv3o6GhWfr2Sjes2sD98H/HxCYTvK10/aM5cBvbtww+7d/H28GEEzArVsbGWShn/3ljmhQSX6auOfugsBvbvxw/7wnl75EgCSqjfr1auZPPGDRzar/Z7Tznq15jxDwoNZWDfvvywdy9vjxhBQLBuDKylUsa//z7zQnVjZwjBoaEM6N+fA/v28VYZMdq0cSMH9+8nIT7eoBjdjzhBxJhxZMjlJdpI3dyoN2Y0EWPHcXDAYCwcHfDo3ctg/4NCQxnYvz8/7NtnQB1v5ND+/cQb6D9A6KJF9O/Vi31bNjNyyBCC5i/QPQYrKz54521mT5tmsN9FWbF8Ed39e7Fm3Rb6DxjC0iXz9dpZW9vw+eQZrFoTxpJlq/nryh+cPHGsVG1jt4HgufMY0Od1Duz6jreGDSNAz3loLZXy0dixzNNz/papb8Tz8xHG7kONfY7+P2Bubo6tra3WR1/ya2ZmRpMmTThy5IjW9iNHjtC6dWu92q1atdKx/+mnn2jatCmVCx+ULsmmJM2KQiS/ghIZNWoUd+/eJSIigl27drFy5UqUSuUT6yYkJnLtWiQ9e/QAoEunzkTHxBAdE6Nld+ToUTp26IijoyMSiYRBAwZw6MfDFVrGvy1HrX9No9+5U6cS9Y8ePUrHDh00+gMHDODwjz+Wqp+YmEjktWv08H+sHxMTQ4w+/WPa+gP6l66fkJhI5PXr9OreHYAuHTvyQI/vdnZ2NG7YEEtLy1J91asfeY1ej2LfuZNe/Z+OHqVTxw44FYn7wcOlx6VoGcaKf0Jh7DX+d9Lvv52dHY0bNSp3fDRlREYWiVEpbaBjR02MBg4YwKHDZbeB+Mt/kBUXV6pNtY5+RJ88RXaieqWF23vCqdG187/2v+Q67lisjsv2PzEpicgbN+nRpQsAndu3J0YuJ6bYCJGdrS2N6tfH0tLCIL+LkpycxO1bN+jQUV1Gm7btUSjkKBS6cw29vGsjc3MH1EmAh5c3sbElX1gYuw3otuEOes+fx224fPEx9vn5qAxj9qHGPkeNydOc81seJk2axLp169iwYQORkZFMnDiRqKgo3nvvPUA9ijxixAiN/Xvvvce9e/eYNGkSkZGRbNiwgfXr1/Ppp59qbD7++GN++ukn5s2bx7Vr15g3bx5Hjx4t9dmjikAkvwK93Lhxg0OHDrFu3TpatWpFkyZNWL9+PVlZWU+srYiNxdnZWXNbSSKR4CaTIS82ShUbK8fNzU3zt7u7O3IDJ8EbWsa/LUefvkwmI1aPvjw2ttz6sQo9+q4y5Hp+cOWxsbjJtPVj9fyAP9ZW4OzspBubWEWpPhlKrKH1K4/FvUhcqrq7G/yQgzHjr46PHv8r8AEMQ2Mkl8t1YlRRfljJXMkoopUpj8XKwFuNhtexrv+G1HGsMg5nJydMK1XS6MtcXZArKuYcBYiPU+LgoL6V+6gMZ2dX4pSll5GUmMjZMydp2qxFyf4buQ3EKpTq+BTXr6D4PI3z0+h9qJHP0ReRwYMHs2TJEoKDg2nYsCGnTp3i4MGD1KxZE1CfD0XX/PXw8ODgwYOcOHGChg0bEhISwrJly+jfv7/GpnXr1uzYsYONGzfSoEEDwsLC+Pbbb2nRouT2VRGIOb8CvURGRmJqakrTpk012+rWrUuVKlVK3S87O1v3SdHcPJ3bKCVNgi9OUbvyXqUaWsa/Lqf4fD+D9Q0rQMf/UuaBadkaoC/B8Nj8GwyOfdG4lHeemxHjX55z59/yr9pARTtRtMxyPmDy7+q4HPrF/jbGMrE6h1xGIZkZGQQHTqX/gCF4e9cpQ9u4bcDY5+hTOT+fdh9awefoi8i4ceMYN26c3u/CwsJ0tvn6+nLx4sVSNQcMGMCAAQMqwj2DEcmvQC/6nsg0hDlz5hBUbF7VtClTmVFkTp6rTIZCqSQ3NxdTU1MKCgqIVSi0ruwBZDI3rdv8cnkMbjJZiWXvP/A9WwofOvLv3t2gMspTzvcHDmj0u3fvjlKPvkyPvptMVkxfXqL+N9sK9bt2R6nQ1lcoFFojvFr68sf6MXI5MteS4yRzddUfG1nFPGAgM7R+3bTjEhMjR1ZK/Ro7/hq/XF1RKBR64lPyPuXF0Bi5ublp3aaNiSm9DZSHzFgF0iLlWclcyTRw5NDwOnYrVscxpdaxZj8XZ5Tx8eTm5WFaqZL6/FcqcXvCh2COHf2R8L3fAeDr20mzfFOlwjLi4pU4u+gvIzMzk4AZk2nesjV9+w0q3X8jtQHNfq4u+vUr6CEhY52fT6sNl+cY/u05akzEq8eMj5j2INDLSy+9RG5uLufPn9dsu379OsnJyaXuN2XKFFJSUrQ+nxeZ3wPg6OBAXR8ffjh4EIAjx47i7uZOVXd3LbsunToRcTyChIQECgoK2LlrF927dSux7Nd69ea7Hd/y3Y5veXvUWwaVUZ5yevfqxc4dO9i5YwdvjxqlpX/02DHc3dz06nfu1ImI48c1+t/t2kW3EvS/3baDb7ft4K1Ro/Dx8eHgIW19dz36nTpq6+/avYtuXUuO06P4Hyic13YkIoKq7vp9/zdo9B/F/ugxvfpdOnXiWMRx4ovE3b+U+jV2/LX8r1v3sf/HjlG1BO1/i26MjlLVXff87NypExEREZoYfVdGjMrDg+MnqerbHnMHewC8+vXh/pGjFeq/uo4jDK7jRzjY2+Pj7c3Bwgdhjp46hbtMhvsTJiWdOndj+Yp1LF+xjgGDhuLp5c3xCHUZZ8+cwtVFhqueC8esrCxmzvicxk2aMfSNETrfF8dYbUBbv06RNny8Qs9RY52fT6sNl+cY/u05KvhvI15vLNDCz8+Phg0bsmTJEvz9/YmJiWHNmjWYmpoyYcIELly4wOzZs8s1GV3f643v3L3LjJkBpKSkIJVKmRUcgreXFzODg/Dz9aWDrx8Au/bsYWNYGPkF+TRv1ozpU6ZqnhIti5LKAMpVTkm3Iu/evcuMmTNJTknBWiolJDhYox8YHIyfry9+vr4A7NboF9C8WTOmTZmi0S/p9cZ3794lIGimxv+QwGDNMj1BIcH4tn+sv2fvHsI2qfWbNVUvA1TZVK2v7/XGd+7dY3pQMMmF2rNnzsTby5OAWaF0aN+ODu3bo1Kp8O/XD5Uqh7T0dBwd7Onl78/EDz7QFtNTH3fu3mV6wMzH+iHq2AQEBdPB15cOfr6auK8PC1Mv0dasGTOmTtGp35Jeb1xR8Qfd1xvfuXuX6YGBj/0PClL7H1zov6+vOj6vv45KpSqMjwO9evRg4kcf6fiq7/XG6hg9Pj9DQwrbQFDhuennp4nRhrAw8vPzadGsGdOn6raB4q83bvzpJNzbt8XCwYHslBRyM7M4NHAITadOJub0GWJOnwXA8/Xe+Ax7E4mJCcoLF7gwb4Hepc70vd74kf+P6ziksI6DCuv4sf/qOs4vrGNd//W93vhuVBQB874kJTUVqZUVIV9MxsvDg6D5C/Bt3Qq/Nm1QqVT0fnMYqpwc0jMycKhShZ5duzB+9GgtrZJeb/zgQRSLF84jLS0VKysrJn7yBTVrqpcLW7ZkPi1atqZFyzZ8u/0btm0N01oGrW1bPwYPHQbof71xRbYBfa83vnPvHtODQx6fPzMD8Pb0ZGZoKH7tirbh/uTkqNuwg709vf39mfBBsdvWel5vXJHnJ+h/vXGFtmE9dykr8hx9mq83Tk9Nf2plWdtaP7WynidE8ivQomjyGxsby7vvvsvRo0dxdXVl1qxZzJgxgwkTJjxx8vtfwthrLpaU/FYU+pLfii3AsIuRf0tJyW9FUjz5rWj0Jb8VSfHkt6LRl/xWJPqS34qkpOS3otCX/FYk+pLfCkVP8lvR6Et+KxJ9yW9FIpLf/y/EnF+BFidOnND8XyaTceDAAa3vhw8f/pQ9EggEAoHgxUGMSRofMedXIBAIBAKBQPDCIEZ+BQKBQCAQCJ4TxMCv8REjvwKBQCAQCASCFwYx8isQCAQCgUDwnGDshwMFYuRXIBAIBAKBQPACIUZ+BQKBQCAQCJ4TxGoPxkeM/AoEAoFAIBAIXhjEyK9AIBAIBALBc0J+vhj5NTZi5FcgEAgEAoFA8MIgRn4FAoFAIBAInhPEnF/jI5JfgdG5di/OqPp5Rr5FlJGVY1R9W6mZUfVfrmpnVP0b9xONql/Vxbj+A8QlpRtVv1Il495k6xvxk1H193bsalT9ml9vNqr+t6fvG1V/cLvqRtV3trcyqn51h0pG1QdIf5hnVH07qblR9QX/X4jkVyAQCAQCgeA5Qazza3zEnF+BQCAQCAQCwQuDGPkVCAQCgUAgeE4Qqz0YHzHyKxAIBAKBQCB4YRDJr0AgEAgEAoHghUFMexAIBAKBQCB4ThDPuxkfMfIrEAgEAoFAIHhhECO/AoFAIBAIBM8JYqkz4yNGfkth9uzZVKpUiblz5z7Vck+cOIFEIiE5OfmpllsaEomE8PDwZ+2GQCAQCAQCwRMhRn5LYePGjXz++eds2LCBL7744qmUmZNj3LeJPS/IY6JZsWw+aakpWEmt+WD8p1SrXlPH7q8/L7Htmw1kZWVhIpHQtHlrhrw5ColEYlAZq76aT1pqKlKplPc+LKGMK5fZsXUDD7OykEgkNG3WikFvlF2GIjaaDasXk56WiqWVlLfHTsS9ag0du9s3I/lm40oA8vLy8K7zMkNHjKVy5cpl+m+sGN2LimJqUDDJycnY2NgQGjADL09PLZvomBimBYdw7fp1alSvzs7Nm0r1tzgxMQ9YvuRLUlNTkEqt+ejjz6leQ9f/K39c4pst68nKykQiMaF5i9a8MeytMuMfFRVFcEggyckp2NhYM2PGTDw9PHXsYmJiCAkJ4vqN61SvXoNNYYa9TSw6+gGLF87V+D9x0mRq1KylY/fH5YtsCltLVmYWEhMJLVu2YfjId8r0Pzr6AQvnzyY1JQWptTWTPp1CTT36ilg5CxfM5fatm1StWo1lK9YY5P+9e/eYGhDwuI6DgvDy8tKx2713L+s3biS/oICWzZszfcoUTE1L/2loNOlj3Nu1RermxuE3hpP6zx29dh69e1J3xDAkEhMU5y9wcf5CCvIMf9NXrDyaNSsXkpaWitRKyuhxk6haTfccuvrXZXZuD+Nh4TnUuFlLBgweWWYdONlZMrSLD1KLyjxU5bL9yHUUSZl6bd0cpfRt742NVWUkEgk/nLvDldvxz9R/Y55D96KimBpY2L6srQkNnKm/jwgMUvcRNWqwc0v53tR3/34Us0JDSElOxtrGhmlTZ+Dh4aFjJ5fHEBoawo2bN6hWrTob1ocZpG/MNmBMxFJnxuc/OfLr5+fHhx9+yIcffkiVKlVwdHRk+vTpmvdhy+VyevbsiaWlJR4eHmzbto1atWqxZMkSg8s4efIkWVlZBAcHk5GRwalTp7S+DwwMpGHDhqxevZrq1atjZWXFwIEDtUZrf//9d7p06YKTkxN2dnb4+vpy8eJFLR2JRMLXX3/N66+/jlQq5d1336VDhw4A2NvbI5FIGDVqlOa4P/roIyZMmIC9vT2urq6sWbOGjIwM3nrrLWxsbPDy8uLQoUNaZVy9epUePXpgbW2Nq6srw4cPJz7+caft5+fH+PHj+fzzz3FwcEAmkxEYGKj5vlatWgD07dsXiUSi+ftJWLNqCZ279mDpyo283ncgq75apNdOam3Dx5Omsnj5OuYsWMHVv//k7OnjBpWxbvVSOnXuweKvNtC7zyDWrFysvwypNR9NmMKCpWsJ/fIrIq9e4eczZZexZcMK2nfoTuiCNXTv1Z+wtUv12lWr4cG04MXMnL2cwDlfkZaWwsmIQ3pti2LMGAXNmcvAvn34Yfcu3h4+jIBZoTo21lIp498by7yQ4DJ91cfXK5bQpVtPVny9iT79BrNi+YIS/Ldm4qdTWbZiA/MXreTvv/7g9KmIMvXnzptDn9f7suu73QwbNoLQ0Fn69aVSxo59n+Bg/d+XxIrli+ju34s167bQf8AQli6Zr9fO2tqGzyfPYNWaMJYsW81fV/7g5IljZeovX7IA/x69WbdxKwMGDmXJonl67ayspIwY9Q6Tp8wol/9BoaEM7N+fH/bt4+2RIwkICtKxeRAdzVcrV7J540YO7d9PfHw8ewy4w3M/4gQRY8aRIZeXaCN1c6PemNFEjB3HwQGDsXB0wKN3r3Idw8a1y+nQyZ/5S9bR47UBrPt6iV47K6k148ZPZu6iNQTNWca1q1c4d/ZEmfoDO9Tml7/kzP3mdyIu3GdwJx+9dpVNTXir5ysc+uUO87ae58utv/NPdMoz99+Y51DQ7DkM7NuXH/bs5u0RIwgI0W0/1lIp48e9z7wS2l5ZfDl/Hq+99jo7dnzHm28MY85c3X4I1G149OixBM4sX19kzDYg+G/zn0x+ATZt2oSpqSm//vory5YtY/Hixaxbtw6AESNGEBMTw4kTJ9i9ezdr1qxBqVSWS3/9+vUMHTqUypUrM3ToUNavX69jc+vWLXbu3Mn333/P4cOHuXz5Mh988IHm+7S0NEaOHMnp06f55ZdfqF27Nj169CAtLU1LZ+bMmbz++utcuXKF4OBgdu/eDcD169eRy+UsXfo4qdq0aRNOTk789ttvfPTRR7z//vsMHDiQ1q1bc/HiRbp168bw4cPJzFSPXsjlcnx9fWnYsCHnz5/n8OHDKBQKBg0apBNPqVTKr7/+ypdffklwcDBHjhwB1Ek8qEfC5XK55u9/S0pyEnf+uUU7304AtGjVDqUyFqUyVsfWw9MbV5kbAGZmZtTy8EKhKPkHV1NGSjJ3/7lF28Iymrdsi1IZS5wBZdSs5YlCoWtXlNSUZO7dvU3LNuoLlSbN2hAfpyA+TqFja25uoRlFyMvNJUelwqSMER1jxighMZHI69fp1b07AF06duRBTAzRMTFadnZ2djRu2BBLS8tSfdVHcnIS//xzE1+/zgC0at0OpSIWpZ64enrVRiZz1/jv4eGNIrb0Ok5MTOT69Wt07+4PQMcOHYmJiSam2DE8Oo6GDRtiaWH4cSQnJ3H71g06dOwCQJu27VEo5HrPCy/v2sjcivjv5U1sGf4nJyVx69ZNOnZS67dt54siNlbvcdvY2lKvXgMsLCwM9j8hMZHIyEh69egBQJfOnfXW8U9Hj9KpY0ecHB2RSCQMGjCAg4cPl6kff/kPsuLiSrWp1tGP6JOnyE5MAuD2nnBqdO1s8DGkpiRz784tWrfrCECzFm2JVyqIU+q2sVoe3ri4Fm3DXsSV0YatLStTzcWGC9fVen/ejsfB1gJ7G3Md28Z1XLgnT+WOPBWA/ALIeFj6XTpj+2/McyghMZHIa9fo5a9uX106deRBTHTJfUQ52tYjkpISuXHjOt26qvshP78OyOUxyOW6bdjW1o5XX234XLUBY1JQUPDUPi8q/9nkt3r16ixevBgfHx/efPNNPvroIxYvXsy1a9c4evQoa9eupUWLFjRu3Jh169aRlZVlsHZqaiq7d+9m2LBhAAwbNoxdu3aRmpqqZffw4UM2bdpEw4YNad++PcuXL2fHjh3Exqo7rY4dOzJs2DBeeuklXnrpJVavXk1mZiYnT57U0nnjjTd4++238fT0pGbNmjg4OADg4uKCTCbDzs5OY/vqq68yffp0ateuzZQpU7C0tMTJyYnRo0dTu3ZtAgICSEhI4M8//wRg1apVNG7cmNmzZ1O3bl0aNWrEhg0bOH78ODdu3NDoNmjQgJkzZ1K7dm1GjBhB06ZNOXZMPXrl7OwMQJUqVZDJZJq//y0JCXHYOzhSqVIlQD367eTkQnxc6RcoyUmJ/HLuNI0aNy+7jHh9ZTgTX8YPdnJSIr/+coZGjZuVapeYGE+VKg5a+g6OziQm6NePj1MQNPUjJrz/BhaWVrTv2L10/40Yo1iFAmdnJ01CLpFIcJPJkMfq/ij/WxLi43Ao7r+zC3Fl+J+UlMi5n0/RuGmLUu0USgVOTs5axyCTycq8aDGU+DglDg5OWv47O7vqnId1yAABAABJREFUTVy0/E9M5OyZkzRtVrr/cXFKHBwdqVTpsf/OLi7lvkgvidjYWJydnXXruNhIbaxcjrubm+bvqu7umv7rSbGSuZJRRCtTHouVq6vB+yckxFHFXruNOTo5kxBfRhtITuT3X87waqPS23AVa3NSMrIpeoc5Of0h9ja6CZarg5ScvHze6VWPT4Y00UyVeJb+G/McUvcRxc4fVxnyCjo3ABQKJU5O2v2Qq6sMhaJi+qHnoQ0Inl/+s8lvy5YtteZDtWrVips3b3L9+nVMTU1p3Lix5jtvb2/s7e0N1t62bRuenp68+uqrADRs2BBPT0927NihZVejRg2qVaum5UN+fj7Xr18HQKlU8t5771GnTh3s7Oyws7MjPT2dqKgoLZ2mTZsa7FuDBg00/69UqRKOjo7Ur19fs8218MflUQd44cIFjh8/jrW1teZTt25dAG7fvq1XF8DNze1fdaLZ2dmkpqZqfVSqbB073blspV+BZmZmMG92AK/3GYinV+1y+wVlr52YmZnB/Dkz6f36QDw8yy5D5xhK0XdydmXm7OUsXLGF3NwcLv7+c/n1KzBGErS1jTECUN4yMjMzmB0ynT79BuNlQB3rhL+Cj0E3/GX4n5FBcOBU+g8Ygrd3HQP0jVsHBusXsavws6BomQbM0y9OeWOUlZnB4nmB9HhtALU8vQ3wzzA/KplI8Klhz67jN1i44wLJadn09ytb39j+G/Mc0u3ejDFK+AK0gX9BfkHBU/u8qPzfPfCWm5urd3t5GtWGDRv4+++/tSa85+fns379esaMGVPifo8a2qN/R40aRVxcHEuWLKFmzZqYm5vTqlUrVCqV1n5SqdRg34o/JCWRSLS2PSo7Pz9f82/v3r2ZN093LphbkatdfbqPNMrDnDlzCCo2r2rsuI95+eV6HNivns7Rpl0HEhLiyMvLo1KlShQUFBAfH4eTs4tezaysTGYHT6NJs5b0en1AiWWfOnGEg9/vAaB1Wz8SE+O1ykhIiMOphFHrrKxM5s5Sl9Hztf56bX4+fYwjh8IBaN7Kl6Ri+omJcTg4lj4qbmFhSfOW7fjl5xM0b+Wr9d3J40eMHiMAmasrCqWS3NxcTE1NKSgoIFahwE1m+KicPo5H/MT3+9T+t22v639CfBzOJfmfmUlI4BSaNW/Na330+3/w4A9s274VgK5duqEsdgwKhQJXV9m/9v/Y0R8J3/sdAL6+nYiP167fuHglzi76Y5SZmUnAjMk0b9mavv0G6bU5euQwe3cX6nfoRHxcHHl5uVSqpPY/Pi4OFxf98SkvMplMfx0XafMAMjc3rakiMTExyGT/PoZFyYxVIC1SnpXMlcwyRvXOnDzK4R/2AtCyjS+JCcXaWEI8jk4lt4H5c2bQqGlL/Hv102vTtK4rvg3VAxaXbiixszbHRIJm9LeKtQVJaQ919ktKe8it6GRSMtR998XrSka/Vl/Hztj+P61zSObqikKhr494snPj0KGD7Ph2OwBdOnchLk67DKVSoRnAeVKehzYgeH75zya/v/zyi87ftWvX5pVXXiE3N5dLly7RpEkTQD0319Blw65cucL58+c5ceKEZvoBQHJyMu3bt+evv/6iXr16gPpp85iYGNzd1fP9zp07h4mJCXXqqEd9Tp8+zcqVK+lROOfo/v37Wg+alYSZmRmgXhngSWncuDG7d++mVq1aT/T0auXKlQ3yZ8qUKUyaNElr2/V/YjEzM8e3QxfNtssXf+f0yWP4dezKr+dO4+LiiouLbofzMCuL2cFTebVREwYMGlZq2e39utDer0gZl85z5uQxfDt25bdfzuDs7IpzCWXMDZlGg4ZN6TfwzRL1W7frROt2nTR/X/njPL+cPU6b9p258PtZnJxccXLW7biVCjkOjurbb+pR33NUq677RLNvhy5GjxGAo4MDdX18OHD4MH169eJIRARV3d2oWnge/1s6dOxKh45dNX9fuvAbJ08cpWOnbpz7+TTOLq646ElOs7KyCA6cQsNGTRk0pGT/e/ToSY8ePTV/nzv3M4cPH6JXr95EHI/Azc1d0xb/DZ06d6NT526av8+f/5XjEUfo3KU7Z8+cwtVFpje5zsrKYuaMz2ncpBlD3xhRon7nLt3p3OXxdJfzv/9KxLEjdOnqz5nTJ3FxlWnmbj8pmjo+eJA+r73GkaNHqerurlPHXTp1YsRbb/HemDE4Ojiwc9cu/Lt1K0G1fDw4fpKOq1fy94aNZCcm4dWvD/ePHC11n7a+nWnr+3he8J+Xz/Pz6Qja+XXh91/P4OTsovcC5OHDLBbMnkH9Bk3o0/+NEvXPX1Nw/trjBLxuTQea+Ljy+zUFDbycSEp7SFKa7p2qyzfjaPGyDPPKlcjOyaNuTQdi4tOfuv9P6xzSnD+HDtGnd2+OHIugqpvu+VNe/P174O/fQ/P3L7+c48efDtOzRy9OnDiOTOaGm9uTlfGI56EN/Fte5BHZp8V/Nvm9f/8+kyZNYuzYsVy8eJHly5ezcOFC6tatS+fOnRkzZgyrVq2icuXKfPLJJ1haWhq0PNb69etp3rw57du31/muVatWrF+/nsWL1asGWFhYMHLkSBYsWEBqairjx49n0KBBmqtGb29vtmzZQtOmTUlNTeWzzz4z6OGhmjVrIpFIOHDgAD169MDS0hJra+tyRkjNBx98wNq1axk6dCifffYZTk5O3Lp1ix07drB27VrNfLSyqFWrFseOHaNNmzaYm5uXOI3E3Nwcc3PtB0bMzJJ07Ma8/zErli1g767tWFpZ8cH4zzTffb1iEU2btaJp81YcPLCXWzev8/DhQ3775SwArVq3p9/Akn8gHvHu2PF8/dVCwvfswNLKivc//FTz3ZqVi2ncrCVNm7Xi0A97uX3rOtnZDzn/q7qMFq3a0XdA6WWMePtDNqxZzMH9O7GwtOLtsRM134WtXUbDxi1o2KQF1yOvcORwOCYmJuTn5VP35Qb07jOkTP+NGaOZU75gelAwazeGIZVKmT1zJgABs0Lp0L4dHdq3R6VS4d+vHypVDmnp6XTq1Yte/v5MLPJQZ2m8N24iy5d+ye7vtmFlJeWjCZ9rvluxfCHNmreieYvW/PD9Hm7dvEZ29kN+LfS/dZv2DBhU8oUIwBdfTCE4JJiwTepjmBkwU/NdaOgs2rVrR/v2vqhUKvr170tOjor09HR69e6Jv78/H4z7sFT9D8dPYvHCeez8ditWVlZM/OTxcofLlsynRcvWtGjZhv3hu7lx/RoPHz7k3M+nAWjb1o/BQ0u/EBn/8ScsXDCHb7d/g5WVlE8+m6L5bsmiL2nZqg0tW7VBpVLx9qg3yMlRkZmRwbA3BtCpU1feeqfku1AAM6dPZ3pAAGvXr1fXcUgIAAFBQXTw9aWDnx/Vq1Xjg/ffZ/hbb1GQn0/zZs3o16dPqboAjT+dhHv7tlg4OOC7fAm5mVkcGjiEplMnE3P6DDGnz5IRE8Pf69bTcfUqJCYmKC9c4J/9B8rULspbo8ezZuVC9od/i6WlFWPGfaL5bv3XS2jUtCWNm7bkp4Ph/HNb3YYvFE4pat6yLa/1G1qq/nfHbzC0c106Na1BtiqPbUevab4b1LEOf99J4O87CSSnZ3Pswn0+HtiI/IICUtKz2RlxoxTlp+O/Mc+hmVOnaPcRgYV9RMgsdR/hq25b/n36olKp1H1Ej5706uHPxA9Lb1uP+OzzLwgNDWHL5k1YSaVMnxag+W7O3FDatm1Hu7bqvmjQ4P7k5OSQnp5On7696dbNn/ffG1eqvjHbgOC/jaTgP/i4n5+fH6+88gr5+fls27aNSpUqMXbsWGbPno1EIkEul/POO+8QERGBTCZjzpw5TJgwgeDgYMaOHVuirkqlwt3dncmTJ/PZZ5/pfL9o0SLmzJlDdHQ0s2fPJjw8nLFjxzJr1iwSExPp0aMH69at0ySGly5dYsyYMVy5coUaNWowe/ZsPv30UyZMmMCECRMA9fSCvXv30qdYYwsJCWHlypUoFApGjBhBWFgYfn5+NGzYUGvJtlq1amnp6dO8efMmkydP5vjx42RnZ1OzZk26d+/OokWLkEgkenX79OlDlSpVCAsLA+D7779n0qRJ3L17l6pVq3L37l1Dq4s/rt4z2PbfkGfkNREzsoy79rKt1Myo+i9XtSvb6Am4EZtWttETUNXFuP4DxCXpjuJVJJUqGffxiurOtkbV31tkRN8Y1Py6fOvDlpdvT983qv7gdtWNqu9sb2VU/eoOxtUHSHn45HcyS8NOqrtKR0VS2cr4MXrE7Ttlr2hUUXh5VMzdpv8a/9nkt3iyVhoPHjygevXqHD16lE6dOpW9gwEEBgYSHh7O5cuXK0Tv/xmR/JaOSH5LRyS/ZSOS39IRyW/piOS3bETy+//Ff3baQ2lERESQnp5O/fr1kcvlfP7559SqVUvvVAaBQCAQCASC5wUx59f4/GeXOiuNnJwcpk6dyiuvvELfvn1xdnbmxIkTVK5cma1bt2ot+1X088orrzxr1wUCgUAgEAgERuQ/OfJ74sSJUr/v1q0b3Up4WvO1116jRQv9C9AXX+6rNAIDA7VeASwQCAQCgUDwpIiBX+Pzn0x+nwQbGxtsbGyetRsCgUAgEAgEgmfA/+W0B4FAIBAIBAKBQB8v3MivQCAQCAQCwfNKvpFXMBKIkV+BQCAQCAQCwQuEGPkVCAQCgUAgeE4QS50ZHzHyKxAIBAKBQCB4YRAjvwKBQCAQCATPCf/BF+/+5/hPvt5Y8N9ClZn5rF14Ioz9+mSJxKjy5CUlGlXfzMHBqPpPgwKMWwmSvFyj6uekGfcV01eU2UbVv/feCKPquy3faFR972rGbQMW5sYdp7I2M/5N4Iwc4/ajlUyM24Zt7J7eEql/Xzfu67iL8oqPcV/N/bwiRn4FAoFAIBAInhPEnF/jI+b8CgQCgUAgEAheGMTIr0AgEAgEAsFzgljn1/iIkV+BQCAQCAQCwQuDGPkVCAQCgUAgeE4QU36Njxj5FQgEAoFAIBC8MIiRX4FAIBAIBILnBLHag/ERI79PgEQiITw83Khl3L17F4lEwuXLlw3eJzAwkIYNGxrNJ4FAIBAIBIL/Kv/55PfSpUsMHDgQV1dXLCwsqFOnDqNHj+bGjRvP2rUKoXr16sjlcurVq2fwPp9++inHjh0zolcCgUAgEAiMQX5+wVP7vKj8p6c9HDhwgP79+9OtWze2bt2Kl5cXSqWS7777jhkzZvDtt98+axefmEqVKiGTycq1j7W1NdbW1kbyqGK4d+8e0wICSE5OxsbGhllBQXh5eenY7dm7l/UbN5JfUECL5s2ZPmUKpqZln7bG1ge4FxXFjJmPywgODMLL01Ov7d7wcDaEbaQgv4DmzZsx9Yuyy7kXFcWMgACSCvVDgkrW3xMezsZHx9GsGVPLOI6oBw8ImPclySkp2PyPvTMPj+ls//hnCJJMInsyCSEIUapFLbFltSQR+1K1xPaSVlFVpdbsCUppqbbW2NVOrUVElepPLd1eIrSEZLJvIsj6+2NiZDKTZEJG9fV8rutcVzLnPt/nPs9y5p77POc5RkYEzZxJY4eGKjYJiYkELF5MzM2b2Nerz9avVlVSI6V8vxPHnFL1HxYURJMm6r7v2bdfWf/OHdpXoX11rf9i+s+cwEAyMxVtEBYYoNa+8QkJzA0M4npMDA0aNGDn5k1aaQPcuXePBQsXkpmVjbGRlKBZs2ji4KBik5CYyIKFi0rauB7bvvlaa32ARHk8q1ct5f79bKSGUiZMmk69+g3V7P77x1V2bo/k0cNcJJIatG3vzOC3RyMp5/WGbaZ/gF23rkhtbTk2fBTZf/2t0a5Rn9409xuJRFKDpF8ucfnTpRQXFmrtf1JiPOu/WUbO/WwMDKWM8/8Qu3oN1OxuxV5jywZF/y8sLMSxWQve8fOnVq1aFerfu3eXiIgQsrKyMDIy4pNP5uHg0EjNTi6Xs3BhKDdv3qBePXtWr16vlf9xd+MICQ4iMysTYyNj5s9fQKNG6uMgQZ5ASEgwN27EYG9vT+SGyvvRnbg45gQElowBI8ICA8vpn4Fcv17SP7ds1spvpf9xcQSHlIwBYyPmzw+gsSb/ExIICQki5kYM9vYN2Bip3TiIi4sjMEhxDkbGRgQuCKRxOdfQ/Qf2s3HTRoqKiujQvgOzZs7SeiwL/n3oNPPr5ubG5MmTmTx5MqamplhYWDBv3jzle6vlcjm9e/fGwMCARo0asW3bNhwcHFi+fHml2rm5uYwdOxYfHx8OHjxI9+7dadSoER07dmTJkiV88803StszZ87QoUMH6tSpg62tLZ988gkFBU9fN+rm5sbUqVOZOXMm5ubmyGQyAgMDVcqLjY3FxcUFfX19WrRowYkTJ9R8+v333/Hw8MDAwAALCwsmTpxITk6Ocv+YMWPo378/4eHh2NjYYGpqSlBQEAUFBXz88ceYm5tTv3591q9/euErO+0hOjoaiUTCqVOnaNeuHYaGhnTu3JmYmBjlMWWnPbi5uTFt2jQVX/v378+YMWOU/zs4OBAaGoqfnx9GRkY0bNiQAwcOkJKSQr9+/TAyMqJVq1b88ssvlbaNNgSHhTF40CAOHTjA2NGjWRAUpGZzLz6elatWsXHDBo4cPEhaaip7tZxmomt9gNCwUAYNGMjBffsZ4zeaoGD1MgDi4+NZ9dUqItet57sDB0hLS2P/gcrLCQkNZdDAgXy3fz9jR48mUMM5PDmPVatWEbl+PYcOHCA1LY19lZxH6LLlDOzdm/2bNjL67bcJWrJEzUZqaMiksWMJmzOnUl/LEhQWypBBAzl8YD/jKqn/TRvWc/TgAVJT07Suf13rv4j+ExQewZABAzi8dw/j/PxYEBKqZmMklTJ10nssClPfVxlhn33GIF9fDmzexOhhwwj6VHMbvz9+HOFz51ZZH2DDmhW4e3rz6fK1+PQdzNqvl2u0M5QaMWnqLBZ+tpqgiC+4/t/f+elcdLm6d6OiiZo4iQdyebk2UltbXp84gSj/SRwZ/Db6FuY06uNbJf83r/8SF3cvwpasxst3EJFrPtdoV79BI+YGLyMgfAWBESu5fz+LM1FHK9VfunQRvr792LLlW4YNG8HixeGaz0UqZfz4icybF1gl/xctiqBf/wHs2rmHkSNHERauuZ9IDaX4+79LcFCI1tpBYeGK/rlvr6J/BqsfaySVMvW9SSwKC6uS309YuCiC/v0GsHvXHkaO9COsnH4ulUrx93+P4OCqjYPwiHAGDBjA3j178RvlR0io5vOPj4/n62++Zu3qtezfu5/UtFQOHDxQ5fOpLoqLi1/Y9qqi82kPGzduRE9Pj59//pkvvviCZcuWsXbtWgD8/PxISEggOjqaPXv2sHr1apKTk7XSPX78OKmpqcycOVPjflNTU0DRqX18fGjfvj2//vorX331FevWrSM0VHUQbdy4EalUys8//8zixYsJDg5WBrhFRUUMHDiQmjVrcuHCBb7++mtmzZqlcnxubi5eXl6YmZlx8eJFdu3axcmTJ5k8ebKKXVRUFAkJCfzwww989tlnBAYG4uvri5mZGT///DPvvvsu7777LnfvVvxu77lz57J06VJ++eUX9PT0GDdunFb1VhHLli2jS5cuXLlyhd69ezNq1Cj8/PwYOXIkly9fxtHRET8/v+ceMGnp6Vy7dg1fHx8AenTvTnxCAvEJCSp2J06exMPDA0sLCyQSCUMGD+bosWP/uD5Aeno6165fp3dJGd09PTWWAXDi1Enc3d2xKCln8KDBHD1+vNJzuK6l/smTJ/EopT9k8GCOVaCfnpHB9dhYfHp0B8DTpRsJiYkkJCaq2JnUrUubVq0w0NevuDI0+H7t2vVS9e/JPQ2+f3/yJJ4e7sr6Hzp4MEeOVVwvL05ft/0nraT/+Hp7K8rw9OBeQrxaGSYmJrRt3RoDfQOtdJ+QnpHBtRux+PToAUB3FxcS5PLy29igam0MkJ2VyZ2/b9K5mwcA7Tt2JTU5iZTkJDVbh0aOWNvYAlC7dm0aOjQhJSlRze4JqVd/5WFKSoXl1/dwI/7MDzxOzwDg1t79NOjZvWr+376Fcxd3AN5q34XUlCRSU9T9r1NHX5kFLCwoID8vjxrlZK2fkJGRzo0bN+jRoxcArq7uyOVy5BoC+rp16/LGG2+iX4V2Tk9PJyYmBq9eXgC4u3uQkJBAglz9GmFiYkLrN1ujb6CdvrJ/+jzpn5rHmImJCW3btH6m/qPw/zpeXooyPNw9SEiIJ0HDNc7ExITWVRwH6enpXI+5jneJvqeHp6J+NOifijqFu9vTa+iggYM4/n3l1wrBvxedB7/29vYsW7YMJycnRowYwZQpU1i2bBnXr1/n5MmTrFmzho4dO9K2bVvWrl3Lw4cPtdKNjY0FoHnz5hXarVq1Cnt7e1auXEnz5s3p378/QUFBLF26lKKiIqXdG2+8QUBAAE2bNsXPz4927dop582ePHmSa9eusXnzZlq3bo2Liwvh4aq/4Ldu3crDhw/ZtGkTr7/+Oh4eHqxcuZLNmzeTlPT0Ympubs4XX3yBk5MT48aNw8nJidzcXObMmUPTpk2ZPXs2tWvX5ty5cxWeV1hYGK6urrRo0YJPPvmE8+fP8+jRI63qrjx8fHzw9/enadOmLFiwgPv379O+fXuGDBlCs2bNmDVrFteuXVM5n2chMTERKysr5ZeJRCLBViZT+1KQy+XY2doq/69nZ4c8sfwvzBelD5CYlIh1mTJkMhmJiepfbImJidiWKsfOzo7ESspJ0nAOMpmMRA1fnHIN+hWdR2JKClYWFujVrPlU29oauZY/PCtD2/pPlCeq1X9l9fIy6T9f/0lSL8NGpvXxleonp2BlaanaxjbWyJ9z7JYmLS0FUzNzapYqw8LSirTUivtRZmY6Fy/8yJtt2j9X+YYyGx6Uqq9ceSKGNjZaH5+enoqpqar/5hZWpKdpDrpTU5IImjOFae8NR9/AEBcPrwr1k5OTsbS0VGljGxsbkpOrp42Tk5OwtCxzjbCRkVQNfUhj/5TZVFv/BEjS5L9MRlIFP4qqpK/hHGxkNhqvAYmJiSrTC+1s7UhKrL6xUlWKil/c9qqi8+DX2dlZZV5Xp06diI2NJSYmBj09Pdq2bavc5+joiJmZmVa62mYfr127RqdOnVR86NKlCzk5Ody7d0/52RtvvKFynK2trTILfe3aNRo0aED9+vVVzqNsOW+++SZSqVSlnKKiIpUpCS1btqRGjafVbmNjQ6tWrZT/16xZEwsLi0oz4KX9fRL4aJs110bTpuRLpLRvTz6rqJzHjx+TnZ2tsj1+/FjNruxcv/Las7RdVcaprvVLDtaqDLVytM2cl80sVaO+Wv1U/eyrpl+eTyr1r70PL4v+8/Qfteat7jYo878u7nBq3Q4lPMx9wLJFgfj0HYxDY8fnd6B0eZVkYjWhNue4AvctrWwICF/B0i83U1CQz+WL56usX923mXXZh9R9rzbpUmWo/l/t9VN2FFQg/0zXaEG5ZGRkMGrUKExMTDAxMWHUqFFkZmaWa5+fn8+sWbNo1aoVUqkUOzs75eyA0ri5uSGRSFS2YcOGVdm/f2w2d+k5t6XRttM1a9YMgOvXr6sFomX1yrsAlf687IMLEolEmRnW5JMmzfIe3qisnIrKLo/SxzzRL++YGjVqqJ1Dfn6+VppVKQcgIiKCoDLzI+fNmcP8UnMKZTIZScnJFBQUoKenR3FxMYlJSSrZS1AE9aVvsyUkJGCrxcN/utL/7tAhNm/dAoB3Ly+Sk1TLSEpKQiazVTtOJpOpDGC5XK7xIcbvDh1i8xaFvpeXF8kazkFmq65vq0G/ovOQWVmRnJpCQWEhejVrKnxPTsHW2rrcY6qCtvUvs1X1OyFBc728rPrP2j8BZDY2JCVpKKOKD7eWq29tRXJqapk2Tsa2CplRTfx45iTHDu8DwLmLK+lpqRQWFlKzpIz0tFQsLDX3o4cPc/k0Yj5t2jnj7TvwufwAyE1MQlqqTQxlNuRWktk+f/YUJ47uB6BDJ1cy0sv4n56CuYVVhRr6+gZ0cO7GhfPRdOjkqrLv+PGj7Ny5AwBPz+6kpKi2cXJyMtbWz97GR44cZvuObQD06NFT7RqRlJSETTX0IUX/TKr2/nnkyGG2bd8KQM8evTT7b/PsZRw6fIht2xT107NnT5KSkzRco9X1ZWXu7MgT5djInm+svOoMHz6ce/fucaxkKtjEiRMZNWoU3333nUb73NxcLl++zPz583nzzTfJyMhg2rRp9O3bV+1ZowkTJhAcHKz830DL6Tyl0Xnm98KFC2r/N23alJYtW1JQUMCVK1eU+27evFnhL4PS9OzZE0tLSxYvXqxx/xOdFi1acP78eZXg7/z58xgbG1OvXj2tymrRogVxcXEqX6Q//fSTms3Vq1d58OCB8rNz585Ro0YNZaD+T2FlZaUysAsLC/njjz90Utbs2bPJyspS2WbOmKFiY2FuTnMnJw4dOQIo5k7Ws7Ojnp2dil13T0+ioqJITUujuLiYXbt3492rV6U+6Eq/j68vO7fvYOf2HYwdMwan5k4cLinj5KlT2NnaqpUB0N3Dk9OnT5NWUs7uPbvx6qleTh9fX3bu2MHOHTsYN2YMzZ201Pf0JKqU/q7du+lVwXmYm5nh5OjIkRMnATj1w1lsZTbYVVPgpV7/p6hnp+57D09PTkWdVtb/zmduX13rV2//VCnjqOKhqROnoqhnq17Gs/K0jRXPLZz84QfsZLLnbuOurt0JXfwloYu/xLffUBo2asL5s1EAXPz5RyytrLGyVg8aHj16yJLw+bR64y36Dxr+XD484d7pM9RzdaGOueJuYZOB/blb0qfLo3M3TwLCVxAQvgLvPoOxb9iYC+dOA3Dp4jksLW2wtFL3PzlJrkzYKLK+P1HfXn3Vhl69vFm3biPr1m1k+PBRODo248QJxdzRM2dOI5PZqv2Iqgo+Pr3ZvGkrmzdtxW/UaJo1c+LYcUVwcfp0FLa2dtjZPn8fsjA3p3lzJw4dedI/T1GvnOtPVf3fsnkbWzZvw89vNE7NnDh2TFFG1BP/n6MM396+bNu6jW1btzFm9BicnJw4WqJ/KuoUtna2GvU9PDw4Hf30Grpn7x569uj5zH48L//2B96uXbvGsWPHWLt2LZ06daJTp06sWbOGQ4cOqdwJL42JiQknTpxg6NChODk54ezszIoVK7h06RJxcXEqtoaGhshkMuVmYmJSZR91nvm9e/cu06dPx9/fn8uXL7NixQqWLl1K8+bN6d69OxMnTuSrr76iVq1afPTRRxgYGJSbQS2NVCpl7dq1DBkyhL59+zJ16lQcHR1JTU1l586dxMXFsWPHDiZNmsTy5cuZMmUKkydPJiYmhoCAAKZPn64y/aAiunfvjpOTE35+fixdupTs7Gzmlnk6esSIEQQEBDB69GgCAwNJSUlhypQpjBo1Sjld4J/Cw8OD6dOnc/jwYZo0acKyZcu0/pFRVerUqUOdOnVUPsvLzVWzWzBvHvMWLGDtunVIpVLCQhRP4QYEBeHm6oq7mxv29esz6b338Bs7lqKiIjq2b8+A/v218kPX+gDz58xlQWAA6zasx0gqJTjo6S/RoOBgXF1dcXN1pX79+rzr/y5jxo2lqLiYDu3a079fv8r1585lfkAAa9cr9ENK/dINDA7GrZT+e+++y+ixJfrt2zOgEv25H35IwKLFrN+2DalUSvAsxYOjwUuW4tq5E66dO5OXl0ffUX7k5eeT8+ABXm8Po3eP7kz5z38q9T1g3lzmLQhgzbr1SKVSwkMUvi8ICsbd1RV3N1fs69fn/ffeZdTYsYol4Nq3Z2D/yuvlRei/iP4TMGc284KCWbMhUnEOgQGKskNCcXfphrurK3l5eXj3H0BeXh73c3Lw9OmNr483H5Z5kFYT86Z/yIJFi1m3dRtSQ0NCPlE8pBv06RJcO3fCrUsX8vLy6DNipLKNew0ZSu+ePZg6YYJW5zB2wlRWr1rKwf3fYmBgyMRJHyn3rft6OW3aOdO2nTPfH9nPX7diePz4EZdKpgt0cO5K34HvaNRtO2M6di5d0Tc3x3XFcgpyH3J0yDDazZlFwtkfSTh7jgcJCfy5dh0e33yFpEYNki9d4q+Dh7Ty+wl+4yazfvUyjhzcib6BIeP8P1Tui1zzBa3bdqT1Wx2JufY7J47tp0aNGhQVFtG8xRv06V/5rdaPPprJwoWhbN26CUNDKbNnz1PuW7w4gi5dutKlSzfy8vIYPnwI+fn5PHiQw+DB/ejZ04uJE9+rUP+TWbMJCQ1i48YNSKVSFswPUO4LCw+lWzcXXLq5kJeXx6DBA8nPzyMnJ4c+fX3x9vJm0qT3y9UOmDOHeYFBrNmg0A4PCgRgQXAI7q4uT/tnv/5P+6e3D74+Pnw4pfL+CfDJJ7MJDgkmcqNiDAQsKOV/WCjdunXDxUVRzsBBA5T++/bpjbe3N+9PqricObPnEBQUxIaScwgMCFTuCwkNwcXFBVcXV+rXq4//RH/GTxhPcVEx7dq1o3+//lqdw7+dx48fq01N1PQ9XhV++uknTExM6Nixo/IzZ2dnTExMOH/+PE5OTlrpZGVlIZFIlAsYPGHr1q1s2bIFGxsbvL29CQgIwNjYuEo+Sop1OLnFzc2Nli1bUlRUxLZt26hZsyb+/v6Eh4cjkUiQy+WMHz+eqKgoZDIZERERTJs2jeDgYPz9/bUq45dffiEiIoKzZ8+SnZ2Nvb09Hh4efPzxxzg6KuaUnTlzho8//phff/0Vc3NzRo8eTWhoqHIivJubG61bt1ZZYq1///6YmpoSGRkJwI0bNxg/fjz/93//h4ODA1988QVeXl7s27eP/iVfeL///jsffPABP/30E4aGhgwaNIjPPvtMuebumDFjyMzMVHkrnKayHRwcmDZtGtOmTeP27ds0atSIK1eu0Lp1a6Kjo3F3dycjI0PZIa5evUqbNm34+++/cXBwIDAwkP379yuXR8vPz+eDDz7g22+/RU9Pjw8//JALFy6onF/pMp8gkUhUzq+sL9qiKfj9N1Go46cCnmGqYpUozEjXqX5tc3Od6r8IitVmyFYvkkLN07yqi/z793Wq/3uy+rz96uTOu3461bddsUGn+o71dTsG9OvoNk9lVFv377t6kK/b62jNGrodw8YmVQuunofzl2++sLK+P7hFbapiQECA2nKvVSE8PJzIyEi1l401a9aMsWPHMnv27Eo1Hj16RNeuXWnevDlbSqYDAqxZs4ZGjRohk8n4448/mD17No6OjhqXn60InQe/ZQO7irh37x729vacPHkST09PXbkleMGI4LdiRPD7zyOC34oRwW/FiOC3ckTwqz0vMvh9q6W91pnfwMBAtUC5LBcvXuT7779n48aNalMcmjZtyvjx4/nkk08q1MjPz2fIkCHExcURHR1N3bp1y7W9dOkS7dq149KlSyoLKFTGP/r6kqioKHJycmjVqhVyuZyZM2fi4OCAi4vLP+mWQCAQCAQCwT/Ci3ztcFWmOEyePLnSlRUcHBz47bffNC6JmpKSUuk00Pz8fIYOHcrff/9NVFRUhYEvQNu2balVqxaxsbH/nuA3Pz+fOXPm8Ndff2FsbEznzp3ZunUrtWrVYuvWreVOfWjYsCF//vnnC/ZWIBAIBAKB4NXE0tISS0vLSu06depEVlYW//d//0eHDh0A+Pnnn8nKyqJz587lHvck8I2NjeX06dNYWFhUWtaff/5Jfn5+lR8k1em0h+fh/v375b5MoVatWjRsqP7+eMHLiZj2UDFi2sM/j5j2UDFi2kPFiGkPlSOmPWjP2YuxL6ysbu2b6kTX29ubhIQEvvnmG0Cx1FnDhg1Vljpr3rw5ERERDBgwgIKCAgYNGsTly5c5dOiQSobY3Nyc2rVrc+vWLbZu3YqPjw+Wlpb897//VS6UcPHiReULa7ThH838VoSxsXGVn94TCAQCgUAgEPyzbN26lalTp9Kzp2LJuL59+7Jy5UoVm5iYGLKysgDFM18HDx4EUHug/vTp07i5uVG7dm1OnTrF559/Tk5ODvb29vTu3ZuAgIAqBb7wEge/AoFAIBAIBK8aRS/nDfkqYW5urrJKgyZKTzxwcHCodN1he3t7zpw5Uy3+6f5eh0AgEAgEAoFA8JIgMr8CgUAgEAgELwkv6aNY/1OIzK9AIBAIBAKB4JVBZH4FAoFAIBAIXhJe5Dq/ryoi8ysQCAQCgUAgeGUQmV+BznmUmKBTfUlN3Xbj3GTN601XF3UqeYPN85KsZ6JTfVsd14++dcVvBKoOdL0Or66Jf6TbNU6/PXtXp/oDdLwOr3zKWJ3qo2P/bcylOtV/ZKjdG76eBxOJbteKzqmhr1P9F7nwqkj86h6R+RUIBAKBQCAQvDKIzK9AIBAIBALBS4JY7UH3iMyvQCAQCAQCgeCVQQS/AoFAIBAIBIJXBjHtQSAQCAQCgeAl4X/h9cYvOyLzKxAIBAKBQCB4ZRCZX4FAIBAIBIKXBJH41T0i8ysQCAQCgUAgeGUQwe9LhoODA8uXL1f7PDAwkNatW79wfwQCgUAgELw4ioqKX9j2qiKmPQj+EeLi4wlc+hlZ2dkYSY0ImP4hjRs2ULG5ePVXvoyMJDf3IZIaNXB17sh7o/2QSCp/m1VcfDyBn35KZlY2RkZSAmfMoHHDhqr6V66ycv16ch8+RCKR4Nq5E5PGjNFK/25iIuHfrCbr/n2MDKXM8Z+AQ716KjZ/xMby2YaNABQUFtKqWTM+8BtJ7Vq1Kvc/IYHg5Z+TmX0fY6mU+R9MpXEDexWbX379jVWbN/Pg4UNqSGrg0rED744coZX/AAnx91j22UKys7KQGhkxbfosGjRwULP79eplNkWu4eHDh0hqSOjo3IVRfuMrLEdR/0vJzM7GSColcMZ09fq/epWV6yPJfZiLRFID107OTBozWiv/79yJY86CBWRmZmJsbExYUBBNmjRWs9uzbz/rNmygqLgY5w7tmTd7Nnp6lV/27sTFMScwkMzMLIyNjAgLDKBJY1X9+IQE5gYGcT0mhgYNGrBz86ZKdV9kGfHx91i2dCHZ2VlIpUZ8OH0WDRo6qNn9evUyGyPX8DBX0b7Ozl0YNbri9n2CpYkB7/RwQqpfi0d5BWw/EUNSRq5GW1sLKQNcHDE2rIVEIuHwT3/z+63UCvWTEuNZ/80ycu5nY2AoZZz/h9jVa6Bmdyv2Gls2rAKgsLAQx2YteMfPn1rljLU20z/ArltXpLa2HBs+iuy//tZo16hPb5r7jUQiqUHSL5e4/OlSigsLK/T5Rfj/BF2OYYB79+4SERFCVlYWRkZGfPLJPBwcGqnZyeVyFi4M5ebNG9SrZ8/q1esr1AW4c+8eC8IXkpml6P9Bs2fRxEHV9wR5IgsWLiQm9ib29euxbfU3leqW5u7du4SHByvGmLERs2fPp1Ejzf6Hh4cQG3uD+vXtWbtWt2/sE/zziMxvFXFzc2Py5MlMnjwZU1NTLCwsmDdvnnJRarlcTu/evTEwMKBRo0Zs27at3Gzu81BUVERwcDD169enTp06tG7dmmPHjin3R0dHI5FIyMzMVH529epVJBIJt2/fBuDOnTv06dMHMzMzpFIpLVu25MiRI0r7//73v/j4+GBkZISNjQ2jRo0iNbXiLyttiVixkgHeXuxZuwa/wYMIXf65mk1dIyNCZ81k5+qv2fTFci7//gfHo89opR++/HMG+Piwd8N6/IYMJeSzZWo2xsZGhM2Zza61a9j85Uou//Y7x0+f1kp/yfoN9HV3Z9uSTxnu68OiNWvVbBwbNGB1cCDrw0OJjAgj8342B6O001/45Vf079WT3V+vYuTAAYStWKnuv5ERITM+4tsvVxL52RIu//En3//wg1b6AF+u+IxeXr58s3YzgwYP44vln2q0MzI25uNZ81n1TSTLPv+GP37/lTPRpyrUDv98BQN8vNm7fi1+QwcTsmy5Rv/DZs9i15rVbF75BZd//53jp6O18j0oLJQhgwZy+MB+xo0ezYKgIDWbe/HxrFy1ik0b1nP04AFSU9PYu3+/dvrhEQwZMIDDe/cwzs+PBSGhajZGUilTJ73HojD1fS9DGV+u+Awvb19Wl7Tv5+W1r5ExM2fN56vVkSz/Qrv2fcIQ96Zc+EPOwi0Xibp0l7c9nTTa1dKrwdjeLTl64W8Wbf2FxVsv8ld8VqX6m9d/iYu7F2FLVuPlO4jINerXCYD6DRoxN3gZAeErCIxYyf37WZyJOlqu7t2oaKImTuKBXF6ujdTWltcnTiDKfxJHBr+NvoU5jfr4Vurzi/D/CbocwwBLly7C17cfW7Z8y7BhI1i8OFyjnVQqZfz4icybF1ip5hPClnzGoD6+HNi6mdHvDCNokbrvUqkh748fT/j8uVrrlmbJkkX06dOf7dt38s47I1m0qDz/DZkwwZ8FC9SvI/8ERcXFL2x7VRHB7zOwceNG9PT0+Pnnn/niiy9YtmwZa9cqgh8/Pz8SEhKIjo5mz549rF69muTk5Gr34fPPP2fp0qUsWbKE3377jV69etG3b19iY2O11nj//fd5/PgxP/zwA7///juLFi3CyMgIUATxrq6utG7dml9++YVjx46RlJTE0KFDn9v39MxMrt+8hbeHBwAeXbsQn5RIQlKSip2TYxPq29oCUKd2bZo1aUx8YmLl+hmZXL95E29PTwA8u3UlITGRhDLHNnd0VNO/J69cPyMrm9jbd+jRpTMAru3bI09JRZ6SomKnX6eOMsuYX1BAXl6+Vtm09MxMYv66hZebGwAenTuRkJSkXj9NGlNPJnvqf6NGxCcmlZXTSGZmBrdu3cDdowcAnbu4kJQkJylJ/fybNGmKzNYOgNq1a9O4sSNJieUHDYr2vYm3p6J9Pbt2JSExiYQyvqnVf+Mm3NOifdPS07l27Tq+Pj4A9Ojuyb2EBOITElTsvj95Ek8PdywtLJBIJAwdPJgjx45rp3/9Or7e3gp9Tw/uJcSr6ZuYmNC2dWsM9A0q1XzRZWRmZnDr5tP27dK1gvZ1VG3fRk0cSaygfZ9gZFCL+tbGXIpRtOtvt1Ixr6uPmXEdNdu2zay5I8/mb3k2AEXF8OBRfoX62VmZ3Ll9C+cu7gC81b4LqSlJpKao9/E6dfSVY62woID8vDxqVDDWUq/+ysMy47Us9T3ciD/zA4/TMwC4tXc/DXp2r/CYF+U/6HYMA2RkpHPjxg169OgFgKurO3K5HLmGHwx169bljTfeRF/LfpqekcG12Bv49FD43t3VhYREOQllrr8mdevS5o1WzzTGFP7H0LOnwn83N3fk8oRy/DfhjTfexMCg6uUI/p2I4PcZsLe3Z9myZTg5OTFixAimTJnCsmXLuH79OidPnmTNmjV07NiRtm3bsnbtWh4+fFgl/VmzZmFkZKSyhYer/mJdsmQJs2bNYtiwYTg5ObFo0SJat25dpQxzXFwcXbp0oVWrVjRu3BhfX19cXFwA+Oqrr2jbti3h4eE0b96cNm3asH79ek6fPs2NGzeqdD5lSUpJwcrcHL2aNQGQSCTIrKxJTC7/yyg1PZ1TP/5Il/bttNO3sFDRt7G2qlQ/6uyPdO3QvlL95PQ0LExNVfStLSxISktTs5WnpDBuzjz6vvc+hgb69PVwr9z/1FQs1erHiqSU8rPuaRkZRJ0/T+d2b1WqD5Cakoy5uSU1S5VhZWVDSnLFwXNGejrnzp3hrfYdy/c/JQUrC1X/baysSEwp/0dgano6UT/+SNf2ldd/YmIiVlZWymBBIpFgK5OpfaklyhOxKwmuAerZ2ZGoRXCdmJSkrm8jQ67Fsdqi6zKeq31/PEO7Ctr3CaZGdch68JjS0wYzcx5hZqyvZmtjLiW/sIjxvq/z0bC3lFMlKiI9PRVTU3OVczC3sCI9TfM4Tk1JImjOFKa9Nxx9A0NcPLwqPYeKMJTZ8KBUe+TKEzG0sdH6eF37r8sxDJCcnIylpaVKH7WxsSE5+fn7aGJyMlYWlujplbrGWdsgr8T3qpCcnIyFhbr/mn4cvGwUF7+47VVFBL/PgLOzs0oGr1OnTsTGxhITE4Oenh5t27ZV7nN0dMTMzKxK+h9//DFXr15V2d59913l/uzsbBISEujSpYvKcV26dOHatWtalzN16lRCQ0Pp0qULAQEB/Pbbb8p9ly5d4vTp0yoBePPmzQG4detWuZqPHz8mOztbZXv8+LG6YZmsRkXvMs95kMv0wGD8Bg+muaOjVuemljSpYJDnPHjA9AUBjBoyhOZNm2qpX6aAcvy3tbJifXgo+75cQX5BAT9c/EU7fapQP7m5fBQSxqiBA2jepIlW+iWFaF0GQG7uA4KD5jBo0DAcHZtVIq19A+Q8eMD0gEBGDRlM86batq+W9VPKrriiTlD+YVU+9mUpQ30MVNK+Dx4QHDiHQYMrb9+nmtqZ1awhwamBGbtP32Dpjktk3n/MILfK21p9nJVva2llQ0D4CpZ+uZmCgnwuXzyvnXMVUbrOtJxLXxqd+6/DMQxVGGfPgPolVBdjrKz/1V6E4F+KeOCtGikoKND4eVUHtaWlJY5lgjxzc3M1O00Xpief1ahRQ63s/HzV24z/+c9/6NWrF4cPH+b7778nIiKCpUuXMmXKFIqKiujTpw+LFi1SK9e2VDatLBEREQSVmX/5ydQpzP5gqvJ/GysrklNTKSgsRK9mTYqLi0lKTUFmbaWm9yA3l6nz5+Pi3JERAweUW25pbEqypCr6KRXoz52Li7MzIwcP0krf2tyClPR0Ff3k9HRsLCzKPcZQXx9PZ2dOnD+PZyfniv23tCQ5La1M/aRiY2Wpwf+HTAsMoluH9gzv369C3ahTx9m/bxcALq6epKWmUlhYSM2SMlJTk7Gy1pzZys3NJWD+LDp27Ez/gRVPfbGxsiKpbPumpCKzstbgfy5T585X1P+ggRXqPkEmk5GUnExBQQF6enoUFxeTmJSk1i9ltjISSk0jSEiQIyuZJlKhvo0NSUka9LU4Vlt0Ucapk0/b19XVk9Qy7ZtSSfsumD+LDs6dGVBB+7ZrboNr6/oAXLmRjIlRHWpIUGZ/TY30ybj/SO24jPuPuBmfSdaDPAAuxyQzoW8rNbvzZ09x4uh+ADp0ciUjXfUc0tNTMLdQH8el0dc3oINzNy6cj6ZDJ9cKbSsiNzEJaak+ZSizITep4sykrv3X9Rg+fvwoO3fuAMDTszspKap9NDk5GWvr5x8HMmtrklNSKSgoRE/vyTUiGdtyfNeWY8eO8O23Cv+7d++hwf8kbGyqbxzrild5Lu6LQgS/z8CFCxfU/m/atCktW7akoKCAK1eu8NZbitvPN2/eVHnorDqoW7cudnZ2/Pjjj8ppCgDnz5+nQ4cOAFhZKS6wcrlcmXm+evWqmpa9vT3vvvsu7777LrNnz2bNmjVMmTKFtm3bsmfPHhwcHLR6Ov4Js2fPZvr06SqfPY6/q/K/uakpTk2acDQqij49ehD14znsrG2wK3NLMffhQ6bOX0Cnt97iP8Pf0doHczNTnBwdOXrqFH169uTU2R+xtbHBrkxgkfvwIVPmzMX5rXb8Z+QIrfXNTOrStGFDTpw7j7dLN85cvIjM0hJbK9UvtfikJGwsLNDT01NmfZvY25ejWsp/U1OcGjfiWHQ0vp6eRJ3/CVtra431My0wCOc2bRg/7O1KdT08e+Hh2Uv5/6VffuZ01Am69/Di/LkfsLGWafxiePjwIYHzZ9K2bXuGDffTzn/HJhw9FUWfnj049eOP2NpYYydT93/K3Pk4t3uL/4wYXqnuEyzMzWnu5MShI0fo37cvJ06eop6dLfXs7FTsenh64jd2HO9OnIiFuTk7d+/Gu1evclQ16B89Sv8+fThxKop6tnZq+s+DLsrw7N4Lz+5Pz++XUu177seK2zdg/kzavtWedypp31+uJ/HL9acBYPOG5rzlZMPF60m80cSSjPuPyLivfqfnamwKHVvIqFOrJo/zC2ne0JyE1Bw1u87dPOnczVP5/++//sKFc6fp4tKdSxfPYWlpg6WVeoCUnCTH3EIxjUSRNf2J+vbqT/VXhXunz+DxzSr+XL+Bx+kZNBnYn7snTlZ4jK791/UY7tXLm169vJX///zzBU6cOI63d2/OnDmNTGZbYfJDW8zNzHBq6siREyfo6+3FyTM/YCeTYWf7fIGpl5cPXl4+yv8vXPiJ778/jo9Pb6Kjq89/wb8fSbEu7jX8D+Pm5salS5eYMGEC/v7+XL58mQkTJrB06VL8/f3p0aMH6enpfPXVV9SqVYuPPvqICxcuEBERwQcffFCpvoODA9OmTWPatGkqnwcGBrJ//35lALt8+XICAgJYvXo1rVu3ZsOGDXz22Wf8+eefNG3alPz8fJo0aYKzszOhoaHExsby0UcfERMTw99//60sx9vbm2bNmpGRkcF7772Hg4MD3377LQkJCbRu3RpXV1c+/vhjLC0tuXnzJjt27GDNmjXKeWbakP3XTbXPbt+7R/DSZWTdz0ZqaEjAR9Np0rAhocs/p5tzR1ydnVm/fQert25TWQKte9eujHtnmIqWpKZ6cH777l2CliwlK1uhH/jxDJo4OBDy2TJcOjnj2qkT67ZtY/XmLTQptQSXp0s3xg9XDcRyNcxDi0uQE7F6NVk5OUgNDJjjP5FG9euzaM06urRtQ9e32nIo+gy7jh2jRo0aFBYW0bbFa7z3zjDq1K6tolWnbl01/Tv34gn+/Auy7t9HamhAwLQPaNygAWErVtKtQwdcOnZgw85drNm+Q2UJNM8uXRg7dIiKVrKeiZo+wL17cSz/bBH3s7MxNDRk2kef0LCh4gv3i+Wf0tG5Mx2du/Dtji1s3xqpskxWl65uvD1sJAC2NdUzfbfv3iNo6VKysu8r6n/GRzRxaEjIsuW4ODvj2smZddu2s3rLVtX679aV8WV+6OhryAb9ffs28xYEkJmVhVQqJTwkGMcmTVgQFIy7qyvuboqM2e69e1kXGUlxUTEd2rdn/pzZmpePKrN81d+3bzMvKPipfmCAQj8kFHeXbri7upKXl4d3/wHk5eVxPycHC3NzfH28+XDyZI31rfEcqqmM2ynqgeS9e3EsW7qI+/cV7fthee27fQvbyrRv165uvP3OSOX/Xx3W/CCtlakB73RvjqG+Ho/zCtl28jpJ6YqlzoZ6NOPPv9P482/FXPh2zW3waGtPUXExWTmP2Rl1Q5kJHuCsOehPTLjH+tXLeJBzH30DQ8b5f0i9+or+ErnmC1q37UjrtzpyNvp7ThzbT40aNSgqLKJ5izcY8s44apWMNfmUsSq6bWdMx86lK/rm5jzOyqIg9yFHhwyj3ZxZJJz9kYSz5wBo3K8PTiNHIKlRg+RLl7i0aInGpc5sV2heGqu6/Lcxl2rUr64xbGyo/pAiQFzcHRYuDCU7OxtDQymzZ8+jUSPFcnyLF0fQpUtXunTpRl5eHsOHDyE/P58HD3IwNTWjZ08vJk58T6llIlH9UXQ7Lo4FEYsU12ipISGzP6FJo0YELf4U1y6dcevShby8PPoMH0FeXj45Dx5gbmZK7549mTpxgpqvOTXU55rHxd0hPDyUrJIxNnfufKX/CxeG07VrN7p2Vfg/bNhg8vIU/puZKfx/991JSi1ra/W7r7pi/6nfKjeqJvp7vvHCynqZEMFvFXFzc6Nly5YUFRWxbds2atasib+/P+Hh4UgkEuRyOePHjycqKgqZTEZERATTpk0jODgYf3//SvW1DX6LiooIDQ1VribRokULFi5ciJfX04ckzp07x3vvvUdsbCzt27dn6tSpDBkyRBn8TpkyhaNHj3Lv3j3q1q2Ll5cXy5Ytw6Lk9n1sbCyzZs3i9OnTPH78mIYNG+Ll5cVnn32m9VqyoDn4rU40Bb/ViabgtzrRFPxWJ+UFv9WFpuC3OtEU/FY7VVi79WVEU/BbnZQX/FYX5QW/1UXZ4Le6KS/4rS7KC36ri/KC3+qkbPBb3WgKfqsTEfz+byGC3yri5uZWpVUV7t27h729PSdPnsTT07PyA/4HEcFvxYjgt2JE8Fs5IvitGBH8VowIfivnRQa/e0++uOB3YPdXM/gVc36rmaioKHJycmjVqhVyuZyZM2fi4OCgMjdXIBAIBAKBQPDPIJY6q2by8/OZM2cOLVu2ZMCAAVhZWREdHU2tWrXYunWr2vq9T7aWLVv+064LBAKBQCD4hykqKn5h26uKyPxWkejo6Ar39+rVi17lPFHet29fOnbUvLB4Ze9wFwgEAoFAIBA8PyL4fYEYGxtjbGz8T7shEAgEAoHgJUU8iaV7xLQHgUAgEAgEAsErgwh+BQKBQCAQCASvDGLag0AgEAgEAsFLgni9se4RmV+BQCAQCAQCwSuDyPwKBAKBQCAQvCSId4/pHpH5FQgEAoFAIBC8MojMr0Dn6Mt0++pSiU7VQc/CSqf6NSS6PYP6Ol7I/HG+bl+9mv8C3jxc49FDnerXlOp2iUMHmW5fYf12N3ud6jew0a3/6Pj1w7p+fXKro0d0qi+to/tQICNHt9c5g9xMnerDi3u98Sv87okXhsj8CgQCgUAgEAheGUTmVyAQCAQCgeAlQaz2oHtE5lcgEAgEAoFA8MogMr8CgUAgEAgELwnFRf+0B//7iMyvQCAQCAQCgeCVQWR+BQKBQCAQCF4SxJxf3SMyvwKBQCAQCASCVwaR+f0fZ8yYMWRmZrJ///5/2hWBQCAQCASVIBK/ukdkfv8FnD9/Hh8fH8zMzNDX16dVq1YsXbqUwsKnq//fvn0biUTC1atX/zlHBQKBQCAQCF5yROb3JWffvn0MHTqUsWPHcvr0aUxNTTl58iQzZ87kwoUL7Ny5E4mO3xBWlsLCQiQSCTVqPPtvpzt37jB3wQIyMzMxNjYmNCiIJk2aqNnt3bePdRs2UFRcTMcOHZg3ezZ6epV32zt37jCnlH5YOfp7Suk7V0Ef4E5cHPMDnpYRHBhEk8aNNdru27+f9ZEbKC4qpkOH9sz5pPJy7sTdYV6pcwgJCqJJY/VzANi7fx/rn9RT+w7M1eI87sTFsSCwRN/ImKBK/N+w8an/s2dVrh93N46Q4CAysxT68+cvoFEjdf0EeQIhIcHcuBGDvb09kRs2Vaj7Ivy/c/cu88PCycjMwtjYiJA5c2jSyEHFJl4uZ0FYBNdjY2lQvz7b163Rym9lGTruo3fuxGnQV6+fPfv2l9JvX6UxkCiPZ/Wqpdy/n43UUMqESdOpV7+hmt1//7jKzu2RPHqYi0RSg7btnRn89uhKr1337t0lIiKErKwsjIyM+OSTeTg4NFKzk8vlLFwYys2bN6hXz57Vq9dr5X9SYjzrv1lGzv1sDAyljPP/ELt6DdTsbsVeY8uGVYDi+ufYrAXv+PlTq1atcrXbTP8Au25dkdracmz4KLL/+lujXaM+vWnuNxKJpAZJv1zi8qdLKS7U7rWGcXFxBIcEklnST+fPD6CxpjGWkEBISBAxN2Kwt2/AxsjKx9iLuIbevXuX8PBgpf+zZ8+nUSPN7RseHkJs7A3q17dn7Vrt3tgXFx9P4KdLyczOxkgqJXDGdBo3VO2fF69eZeX6SHJL+qZrJ2cmjam8b+oSMedX94jM73Pi5ubG5MmTmTx5MqamplhYWDBv3jyKSzqvXC6nd+/eGBgY0KhRI7Zt24aDgwPLly+vVPvBgwdMmDCBvn37snr1alq3bo2DgwP/+c9/2LhxI7t372bnzp0AygtGmzZtkEgkuLm5qWgtWbIEW1tbLCwseP/998nPz1fuy8vLY+bMmdSrVw+pVErHjh2Jjo5W7o+MjMTU1JRDhw7RokUL6tSpw507d56r3oLDwhg8aBCHDhxg7OjRLAgKUrO5Fx/PylWr2LhhA0cOHiQtNZW9Wk7fCAoLY8igQRw+cIBxlehv2rCBowcPkloFfYDQsFAGDRjIwX37GeM3mqBg9TIA4uPjWfXVKiLXree7AwdIS0tj/4HKywkODWPwwEF8t/8AY0aPJkDDOTw5jy9XrWLj+g0cPnCQ1LRU9mlxHmHhCv8P7N3PaL/RBIVU4P/Xq9iwdj0H9x8gNVU7/xctiqBf/wHs2rmHkSNHERYeqtFOaijF3/9dgoNCKtV8Uf6HfLqEQX378t2ObYwdPpzAhYvUbIykUt6f8B8iAhZUye8n6LqPBoWFMmTQQA4f2K+F/nqOHlTUTVXGwIY1K3D39ObT5Wvx6TuYtV8v12hnKDVi0tRZLPxsNUERX3D9v7/z07noSvWXLl2Er28/tmz5lmHDRrB4cbhGO6lUyvjxE5k3L1Br3wE2r/8SF3cvwpasxst3EJFrPtdoV79BI+YGLyMgfAWBESu5fz+LM1FHK9S+GxVN1MRJPJDLy7WR2try+sQJRPlP4sjgt9G3MKdRH1+t/V+4KIL+/Qawe9ceRo70IyysnDEmleLv/x7BwZr3a+JFXEOXLFlEnz792b59J++8M5JFi8prX0MmTPBnwQLNY7w8wj9fwQAfb/auX4vf0MGELFuuZmNsZETY7FnsWrOazSu/4PLvv3P8dHSVyhH8+xDBbzWwceNG9PT0+Pnnn/niiy9YtmwZa9euBcDPz4+EhASio6PZs2cPq1evJjk5WSvd77//nrS0NGbMmKG2r0+fPjRr1ozt27cD8H//938AnDx5Erlczt69e5W2p0+f5tatW5w+fZqNGzcSGRlJZGSkcv/YsWM5d+4cO3bs4LfffmPIkCF4eXkRGxurtMnNzSUiIoK1a9fy559/Ym1tXeV6ekJaejrXrl3D18cHgB7duxOfkEB8QoKK3YmTJ/Hw8MDSwgKJRMKQwYM5euzYM+nf06D//cmTeJbSHzp4MEe00AdIT0/n2vXr9C4po7unp8ZzADhx6iTu7u5YlJQzeNBgjh4/Xuk5XL9+Tanfw1NzHUFJPbl7KPWHDh7M0eMVn8cT/328n/qfkJBAggb9k6dO4lHG/2OV+J+enk5MTAxevbwAcHf3UOjL1fVNTExo/WZr9A0MKtR8Uf6nZWRw/UYsvXv2UGi7uRIvlxNfJogxqVuXtm++gYG+vtZ+K8vQcR9V6F8vpe9Zgb57Gf2K2/YJ2VmZ3Pn7Jp27eQDQvmNXUpOTSElOUrN1aOSItY0tALVr16ahQxNSkhIr1M/ISOfGjRv06NELAFdXd+RyOXINwWTdunV544030dfXvg9lZ2Vy5/YtnLu4A/BW+y6kpiSRmqLuf506+spsZmFBAfl5edSoJDOYevVXHqakVGhT38ON+DM/8Dg9A4Bbe/fToGd3rfxXjLHreHl5A+Dh7kFCQrzGMWBiYkLr1q0x0LJ+XsQ1VNG+MfTsqWhfNzd35PKEctrXhDfeeBODqlwjMjO5fvMm3p6K/unZtSsJiUkkJKq2b3NHR+rbKvpmndq1ada4CfcSK+6buqao+MVtryoi+K0G7O3tWbZsGU5OTowYMYIpU6awbNkyrl+/zsmTJ1mzZg0dO3akbdu2rF27locPH2qle+PGDQBee+01jfubN2+utLGysgLAwsICmUyGubm50s7MzIyVK1fSvHlzfH196d27N6dOnQLg1q1bbN++nV27dtGtWzeaNGnCjBkz6Nq1Kxs2PL21lJ+fz6pVq+jcuTNOTk5IpdKqV1QJiYmJWFlZKb9MJBIJtjKZ2kVPLpdjV3JRAqhnZ4dci4uStvqJGvQTtbzoJSYlYl2mDJlMRmKi+oU7MTER21Ll2GlRTpKW56DQl6vpV1ZPiUnq+jIbGXIN/ssTE7GVlfG/ksAlOTkJS0t1/aRq+lLRpf9JSclYWVqU0bYmMUk9KHpm/3XcR7XXT3zmMZCWloKpmTk1a9ZUlmFhaUVaasU/7jMz07l44UfebNO+Qrvk5GQsLS1VzsHGxobk5OrpQ+npqZiaqvpvbmFFeprmgDU1JYmgOVOY9t5w9A0McfHwem4fDGU2PChV37nyRAxtbLQ6NknTGJPJSKpkbGrDi7iGJicnY2Gh3r7V4T9AUkoKVhbm6JVqXxsrKxJTyu+fqenpRP34I13bV9w3Bf9+RPBbDTg7O6vMD+rUqROxsbHExMSgp6dH27ZtlfscHR0xMzOrkn5xOfN/iouLtZqX1LJlS+UFHsDW1laZfb58+TLFxcU0a9YMIyMj5XbmzBlu3bqlPKZ27dq88cYblZb1+PFjsrOzVbbHjx+r2ZX1u7xzLG1XlR+p2urzjPplj62wjDL+VGRX3jFV09dKXl2/ghpQsdXaf9X/K9J/FnTrv5rz1Y6u++iz6VftRKvSRwEe5j5g2aJAfPoOxqGxY7XrVxW162cF8pZWNgSEr2Dpl5spKMjn8sXz1eNE6XOq4jxTNfersX5exDVUvYwqClSmX3YcV+BhzoMHTA8IZNSQwTRvWnnfFPy7EQ+86ZCCggKNn2t7gWrWrBkA165do3Pnzmr7r1+/TosWLSrVKftQhkQioahI8f7EoqIiatasyaVLl1QCZAAjIyPl3wYGBloF2hEREQSVmRs2b84c5s+dq/xfJpORlJxMQUEBenp6FBcXk5iUpJK9BEWQXvo2W0JCArYyWaU+aKsvs7VVuUWYkJCArAL97w4dYvPWLQB49/IiOUm1jKSkJGQyW7XjZDKZSjlyuVxjOQcPfcfmLSX6Xl5anYNC37aMvuZ6+u7QIbZsU+h79dTsv60G/21lMpXpCglyOTIbdf0jRw6zfcc2AHr06Elysrq+jRbtVx669v8JNjbWJKekqNZ9cjIyLTNy2qCrPlp1fVkZfc198wk/njnJscP7AHDu4kp6WiqFhYXUrFmT4uJi0tNSsbDUPCXq4cNcPo2YT5t2znj7DtRoc/z4UXbu3AGAp2d3UlJUzyE5ORlr62fvQ+fPnuLE0f0AdOjkSkZ6Gf/TUzC3sKpQQ1/fgA7O3bhwPpoOnVyf2ReA3MQkpKXaxFBmQ24FdxiOHDnMtu1bAejZo5fmMVZB39YWXfXPY8eO8O23ivbt3r2HhvatHv8BbKysSEpNpaCwEL2S9k1KSUVmpd4/H+TmMnXufFycnRk5SHPffJFU9488gToi81sNXLhwQe3/pk2b0rJlSwoKCrhy5Ypy382bN8nMzNRKt2fPnpibm7N06VK1fQcPHiQ2NpZ33nkHUGRmAZXlz7ShTZs2FBYWkpycjKOjo8qmzZdsWWbPnk1WVpbKNrPMnGULc3OaOzlx6MgRQDFntZ6dHfXs7FTsunt6EhUVRWpaGsXFxezavRvvXr0q9UFb/R6enpwqpb+zEv0+vr7s3L6Dndt3MHbMGJyaO3G4pIyTp05hZ2urVgZAdw9PTp8+TVpJObv37Marp3o5fX37sGvHt+za8S3jxoyludNT/ROnTmJnq34OT84j6nSUUn/n7t14aTiPPr6+fLttB99uK/HfyYkjR1X9t9Og7+nhSVQZ/3tp8N/HpzebN21l86at+I0aTbNmThwrmXt8+nQUtrZ22Nmq62uLrv1/goWZGc2bNuXw9ycU2tFnsJPJqKfhh8ezoqs+Wr7+KerZqfdPhf5prfW7unYndPGXhC7+Et9+Q2nYqAnnz0YBcPHnH7G0ssbKWv1HwqNHD1kSPp9Wb7xF/0HDy9Xv1cubdes2sm7dRoYPH4WjYzNOnFDMQT5z5jQyma3GH4Da0rmbJwHhKwgIX4F3n8HYN2zMhXOnAbh08RyWljZYWqn7n5wkVyYzFFnfn6hvr74qQVW5d/oM9VxdqGOuuBvYZGB/7p44Wa69j09vtmzexpbN2/DzG41TMyeOHVM8eBf1ZIxpGANVRVf908vLhw0bNrFhwyZGjBhF06bN+P57RftGRz9/+5bG3NQUJ8cmHD2l6J+nfvwRWxtr7GSq7Zv78CFT5s7Hud1b/GdE+X1T8L+FpFj8xHgu3NzcuHTpEhMmTMDf35/Lly8zYcIEli5dir+/Pz169CA9PZ2vvvqKWrVq8dFHH3HhwgUiIiL44IMPKtXfvXs3w4YNY9y4cUyePJm6dety6tQpPv74Yzw9PZVLnRUUFFC3bl3mzp3Lf/7zH/T19TExMdH4kotp06Zx9epV5YoOI0eO5Ny5cyxdupQ2bdqQmppKVFQUrVq1wsfHh8jISKZNm6Z10F6WvNxctc/+vn2beQsWkJWVhVQqJSwkBMcmTQgICsLN1RX3ktUqdu/dy/rISIqKiujYvj3z5sxRz2RrKPOJfmaJfniJ/oKgINzL6K+LjKS4qIgO7dszX4N+QTlPBdy+fZsFgQFkZmVhJJUSHBSMY8lSQEHBwbi6uuLmqsgM7dm7l8iNkRQVF9OhXXvmzJ6tLKe8B2f+vn2b+QFP6yg0OESpHxBcUk+uT89jQ2QkRcWK85g3++l5FFbkf1CAUj8kMFi5lFFQSDCuLk/937vvqf/tn/ivp9B/nK/5DsedO3cICQ1S6i+YH0DjkqXawsJD6dbNBZduLuTl5TFo8EDy8/PIycnBzMwcby9vJk16H4A6tTTfoKou/wFqPMpR1Y6LY35YhLJtQ+bOwbFxIwIXLsKtaxfcunYlLy+P3m+/Q35+HvdzHmBuZoZvr5588K6/mq81pcZqn1VnH9V0O1ehH1BKP7hEP7hE37WMfnGJ/mw1/cs3NGcj5Qn3WL1qKTk59zEwMGTipI+ob69YSmrd18tp086Ztu2cObh3O/t2b1VZBq2Dc1f6DlT8eG9gY6JRPy7uDgsXhpKdnY2hoZTZs+cpl8tbvDiCLl260qVLN/Ly8hg+fAj5+fk8eJCDqakZPXt6MXHiewDcvJeuUT8x4R7rVy/jQc599A0MGef/odLHyDVf0LptR1q/1ZGz0d9z4th+atSoQVFhEc1bvMGQd8ZRqyTpIJ8yVk277Yzp2Ll0Rd/cnMdZWRTkPuTokGG0mzOLhLM/knD2HACN+/XBaeQIJDVqkHzpEpcWLVFb6qxnyY+8sty5c5vgkGDlGAhYUGqMhYXSrVs3XFxcycvLY+CgAapjzNub9ydNBkBaR32MVW//hIycR2qfxcXdITw8VOn/3Lnzle27cGE4Xbt2o2tXRfsOGzaYvDxF+5qZKdr33XcnKbUMcjPV9G/fvUfQ0qVkZd9HamhI4IyPaOLQkJBly3Fxdsa1kzPrtm1n9ZatNCm1BJpnt66MH/6Oipaxg+ZlFHXBN3v+74WV5T+owwsr62VCBL/PiZubGy1btqSoqIht27ZRs2ZN/P39CQ8PRyKRIJfLGT9+PFFRUchkMiIiIpg2bRrBwcH4+6t/SWri7NmzhIeH89NPP/Hw4UMcHR0ZN24c06ZNU5mqsHbtWoKDg4mPj6dbt25ER0drFfzm5+cTGhrKpk2biI+Px8LCgk6dOhEUFESrVq10EvxWJ7pejbG84Le6qOyp8eelvOC3uigv+K0uygt+q5OywW91oyn4rV5028blBb/VRXnBb3VRXvBbXWgKfquT8oLf6kJT8FvdaAp+qxNNwW91IoLf/y1E8PucuLm50bp1a63W7QW4d+8e9vb2nDx5Ek9PT90695Iggt+KEcFvxYjgVxtE8FsRIvitGBH8Vs6LDH6/3v3igt93B7+awa944E3HREVFkZOTQ6tWrZDL5cycORMHBwdcXFz+adcEAoFAIBAIXjnEA286Jj8/nzlz5tCyZUsGDBiAlZUV0dHR1KpVi61bt6osL1Z6a9my5T/tukAgEAgEghdMUVHxC9teVUTm9zkp/RpgTfTq1Yte5Tz92rdvXzp27KhxX0XvjBcIBAKBQCAQPBsi8/sPYmxsrLa82JOtYaknTwUCgUAgELwa/C+83jgjI4NRo0ZhYmKCiYkJo0aNqvSh+TFjxiCRSFQ2Z2dnFZvHjx8zZcoULC0tkUql9O3bl3v37lXZPxH8CgQCgUAgEAiqjeHDh3P16lWOHTvGsWPHuHr1KqNGjar0OC8vL+RyuXI7ckT1Yc9p06axb98+duzYwY8//khOTg6+vr5VfseBmPYgEAgEAoFA8JLwb1+D69q1axw7dowLFy4op3auWbOGTp06ERMTg5OTU7nH1qlTp9wXbGVlZbFu3To2b95M9+7dAdiyZYtyBa3ypphqQmR+BQKBQCAQCATVwk8//YSJiYnKM03Ozs6YmJhw/vz5Co+Njo7G2tqaZs2aMWHCBJKTk5X7Ll26RH5+Pj179lR+Zmdnx+uvv16pbllE5lcgEAgEAoHgJaHoBaZ+Hz9+zOPHj1U+q1OnDnXq1HlmzcTERKytrdU+t7a2JjExsdzjvL29GTJkCA0bNuTvv/9m/vz5eHh4cOnSJerUqUNiYiK1a9fGzMxM5TgbG5sKdTUhMr8CgUAgEAgEryARERHKh9KebBERERptAwMD1R5IK7v98ssvAEg0vLypuLhY4+dPePvtt+nduzevv/46ffr04ejRo9y4cYPDhw9XeA6V6WpCZH4FAoFAIBAIXhJe5Jzf2bNnM336dJXPysv6Tp48mWHDhlWo5+DgwG+//UZSkvpbIVNSUrCxsdHaN1tbWxo2bEhsbCwAMpmMvLw8MjIyVLK/ycnJdO7cWWtdEMGv4AWg69cPU6jb1+vq1aypU31dX+dq1dRtC9SS6PgG0gu4P1VoaKRTfZ1/l+Xl6VTeysxQp/r6On69ro25VKf6rXT8+uHvvX10qu99/KhO9QHMjJ79Nro2FBhqH1QJnlKVKQ6WlpZYWlpWatepUyeysrL4v//7Pzp0ULw++eeffyYrK6tKQWpaWhp3797F1tYWgLfeeotatWpx4sQJhg4dCoBcLuePP/5g8eLFWuuCmPYgEAgEAoFA8NJQVFz8wjZd8Nprr+Hl5cWECRO4cOECFy5cYMKECfj6+qqs9NC8eXP27dsHQE5ODjNmzOCnn37i9u3bREdH06dPHywtLRkwYAAAJiYmjB8/no8++ohTp05x5coVRo4cSatWrZSrP2iLyPwKBAKBQCAQCKqNrVu3MnXqVOXKDH379mXlypUqNjExMWRlZQFQs2ZNfv/9dzZt2kRmZia2tra4u7vz7bffYmxsrDxm2bJl6OnpMXToUB4+fIinpyeRkZHUrOIdWhH8CgQCgUAgELwk6PLNay8Kc3NztmzZUqFNcanMs4GBAcePH69UV19fnxUrVrBixYrn8k9MexAIBAKBQCAQvDKI4FcgEAgEAoFA8Mogpj0IBAKBQCAQvCQUv8i1zl5RROZXIBAIBAKBQPDKIILfl5Dbt28jkUi4evXqP+2KQCAQCASCF0hR8YvbXlVE8AtER0dX+sq+yMjIf9pNgUAgEAgEAsFzIub8Ap07d0Yulyv//+CDD8jOzmbDhg3Kz0xMTP4J1/5nuXPnDnMWLCAzMxNjY2PCgoJo0qSJmt2efftYt2EDRcXFOHfowLzZs9HTq7zb3omLY05gIJmZWRgbGREWGECTxo1VbOITEpgbGMT1mBgaNGjAzs2bquB/nAb/G6vZ7dm3v5T/7bX3/84d5pbSDy2nfvaWqp+OVamfF1H/AYEl+kaEBQaWU/+BXL9eUv9bNleq+9R/3db/k3OYv2ABGSVlhAQFqZ3DE/bu38+GJ+3Qvj1ztChH520cF8fc4JCn+vPn06RxIxWb+IQE5oWEcD3mBg3s7fl2Y2SluirHx99j6afhZGdlITUyYvqM2TRs6KBml5QoZ+mShdy6GUu9evX54svVWunH3Y0jJDiIzKxMjI2MmT9/AY0aqbdBgjyBkJBgbtyIwd7ensgN2o3lhPh7LPtsodL/adNn0aCBuv+/Xr3Mpsg1PHz4EEkNCR2duzDKbzwSScVvT4yLiyM4pOQ6ZGzE/PkBNNbkf0ICISFBxNyIwd6+ARsjK/e/zfQPsOvWFamtLceGjyL7r7812jXq05vmfiORSGqQ9MslLn+6lOLCwkr1n/gfGKQYx0bGRgQuCKRxOWNg/4H9bNy0kaKiIjq078CsmbMq7KcvbAwHPC0jOLD8Mbxv/37WR26guKiYDh3aM+cT7cupbsScX93zr8r8urm5MXnyZCZPnoypqSkWFhbMmzdP2VHkcjm9e/fGwMCARo0asW3bNhwcHFi+fHmFurVr10Ymkyk3AwMD6tSpo/zfzMyMWbNmYW1tjb6+Pl27duXixYvK49966y2WLl2q/L9///7o6emRnZ0NQGJiIhKJhJiYGEDx7uvw8HDGjRuHsbExDRo0YPVq9S+Dv/76C3d3dwwNDXnzzTf56aefVPbv2bOHli1bUqdOHRwcHFR8AJBIJOzfv1/lM1NTU2UWOy8vj8mTJ2Nra4u+vj4ODg5EREQobbOyspg4cSLW1tbUrVsXDw8Pfv311wrrUluCwsIYMmgQhw8cYNzo0SwIClKzuRcfz8pVq9i0YQNHDx4kNTWVvWXOp1z98AiGDBjA4b17GOfnx4KQUDUbI6mUqZPeY1GY+r7K/Q9lyKCBHD6wXwv/13P04AFSU9O09j84LIzBgwZx6MABxlaiv3HDBo4cPEhaVepH1/UfFq6o/317FfUfHKJmYySVMvW9SSwKC9NKU1Vft/UPEBIayqCBA/lu/37Gjh5NoIYynpSzatUqItev59CBA6SmpbFPi3J03cbBCxcxuH8/Du3exdiRI1mgoZ6NpFKm+PuzKDhYK82yrFi+BG+fPqzdsJXBQ95h+WeLNNoZGkrxGzOeWbPnV0l/0aII+vUfwK6dexg5chRh4ZrHqtRQir//uwQHqfezivhyxWf08vLlm7WbGTR4GF8s/1SjnZGxMR/Pms+qbyJZ9vk3/PH7r5yJPlWp/sJFEfTvN4Ddu/YwcqQfYeVca6RSKf7+7xEcrP216G5UNFETJ/GgVOJGTdfWltcnTiDKfxJHBr+NvoU5jfr4al1GeEQ4AwYMYO+evfiN8iMkVHP9xsfH8/U3X7N29Vr2791PaloqBw4eqFD7RYzh0LBQBg0YyMF9+xnjN5qgYM1jOD4+nlVfrSJy3Xq+O3CAtLQ09h/QvhzBv49/VfALsHHjRvT09Pj555/54osvWLZsGWvXrgXAz8+PhIQEoqOj2bNnD6tXryY5Ofm5y5w5cyZ79uxh48aNXL58GUdHR3r16kV6ejqgCMqjo6MBxS+2s2fPYmZmxo8//gjA6dOnkclkKq/1W7p0Ke3atePKlStMmjSJ9957j+vXr6uUO3fuXGbMmMHVq1dp1qwZ77zzDgUFBQBcunSJoUOHMmzYMH7//XcCAwOZP39+laZnfPHFFxw8eJCdO3cSExPDli1bcHBwUJ5H7969SUxM5MiRI1y6dIm2bdvi6empPO9nJS09nWvXruHro3hffY/u3bmXkEB8QoKK3fcnT+Lp4YGlhQUSiYShgwdz5Ngx7fSvX8fX21uh7+nBvYR4NX0TExPatm6Ngb7BM/h/vZT/nhX4717G/8oX8dZUP/Ea9E+cPIlHqfoZMngwR7WtnxdR/z5P6l9z/ZiYmNC2TWsMDPQr1VT3X3f1/6SM69ev07ukjO6enhrbAODkyZN4uLtjUaodjlWyWPsLaeOYGHy9vBT6Hu4a9ZVjoIptAJCZkcHNm7F4ePYAoGs3V5ISE0lKVA/GjOvW5fXX30BfX/ty0tPTiYmJwauX4hzc3T1ISEggQa7eBiYmJrR+szX6BtqP5czMDG7duoG7h8L/zl1cSEqSk5SUqGbbpElTZLZ2gCJZ0rixo8bzVPf/Ol5einHg4e5BQkI8CRr6kImJCa2reC1KvforD1NSKrSp7+FG/JkfeJyeAcCtvftp0FO718Cmp6dzPeY63iX+e3p4Kupfg/+nok7h7vZ0DAwaOIjj35c/Bl7EGE4vuQ5pM4ZPnDqJe6kxPHjQYI5q8cIFXVFU9OK2V5V/XfBrb2/PsmXLcHJyYsSIEUyZMoVly5Zx/fp1Tp48yZo1a+jYsSNt27Zl7dq1PHz48LnKe/DgAV999RWffvop3t7etGjRgjVr1mBgYMC6desARfB79uxZioqK+O2336hZsyajRo1SBsTR0dG4urqq6Pr4+DBp0iQcHR2ZNWsWlpaWSvsnzJgxg969e9OsWTOCgoK4c+cON2/eBOCzzz7D09OT+fPn06xZM8aMGcPkyZP59FPNmQtNxMXF0bRpU7p27UrDhg3p2rUr77zzDqAI2H///Xd27dpFu3btaNq0KUuWLMHU1JTdu3eXq/n48WOys7NVtsePH6vYJCYmYmVlpbylJJFIsJXJVKaeACTK5djZ2ir/r2dnR2Ki+hdTWRKTktT1bWTItThWG7T3P/HZ/NdSX66hfrQ5x3+k/mU2/5r6B0jSUIZMJiNRQ5ZNnpiIbaly7LRoB523cVIyVpaW6vpJSZUeqy0pKcmYW1hQs+bTMqysrasl4QCQnJyEpWWZNrCRkVRN/Sg1JRlzc0vla1ElEglWVjakJFdcRxnp6Zw7d4a32nes0C5Jk/8ymcbgWlcYymx4UKq+cuWJGNrYaHVskoZxbCOz0TiGEhMTkclkyv/tbO1ISiy/Hl/EGE5MSsRa0xjW8KMlUcMY1rYcwb+Tf13w6+zsrDLPqlOnTsTGxhITE4Oenh5t27ZV7nN0dMTMzOy5yrt16xb5+fl06dJF+VmtWrXo0KED165dA8DFxYX79+9z5coVzpw5g6urK+7u7pw5cwbQHPy+8cYbyr+fDMqyXxqlbZ4MzCc2165dU/EJoEuXLsTGxlKo5XyuMWPGcPXqVZycnJg6dSrff/+9ct+lS5fIycnBwsICIyMj5fb3339z69atcjUjIiIwMTFR2RYtWaJmV3auXLlznErZVWUWVNmpeMVVOlob/WfxX3sftNWXPHP96Lr+y+pX4eBn0q/e+i97bEkhWvmj7Xy9l6aNnwNdl6HrcYxaE1esn5v7gOCgOQwaNAxHx2aVy1dRXyeULrOSOcplkahVUAW2VRwD/8QYrsivZxnDukKs9qB7/mceeHsyHaAsz9uJnxyvaaA++ezJLavo6GjOnz+Ph4cH3bp14+rVq8TGxnLjxg3c3NxUjq9Vq5bK/xKJhKIy9yBK2zwp64lN6fLL+lr6mLKf5efnK/9u27Ytf//9N0ePHuXkyZMMHTqU7t27s3v3boqKirC1tVXLRoNi3nB5zJ49m+nTp6t8VqNMMC6TyUhKTqagoAA9PT2Ki4tJTEpS+eUNILO1VbnFlpCQoJJdKA+ZjQ1JSRr0tThWG7T3X1bGf7l2/mupb2trq3ILLyEhQatzfDH1n/Svq//vDh1ic8m76L28vEjWUIasTBkAtjLVcuRyeaXnqvM2trHWrK9l1q88Tp44xr49uwBwdfckNSWFwsICatZUlJGakoK1tfUz6x85cpjtO7YB0KNHT7U2SEpKwuY5+lHUqePs36fw38XVk7TUVAoLC6lZs6bC/9RkrKw111Fubi4B82fRsWNn+g8cWq7/27ZvBaBnj16a/bepnnGgDbmJSUhL9SlDmQ25FWT/Dx0+xLZtivrv2bMnSclJav5rGkOyMllbeaIcG1n5fU2nY3irYgx79/IiOUm9/mUy9TEs0zCGtbnWCf69/OsyvxcuXFD7v2nTprRs2ZKCggKuXLmi3Hfz5k0yMzOfqzxHR0dq166tnL8LigDyl19+4bXXXlN+5ubmxunTp/nhhx9wc3PD1NSUFi1aEBoairW1tYptddCiRQsVnwDOnz9Ps2bNlLfxrKysVC5IsbGx5ObmqhxTt25d3n77bdasWcO3337Lnj17SE9Pp23btiQmJqKnp4ejo6PKZmlpWa5fderUoW7duipbnTp1VGwszM1p7uTEoSNHAMW8xnp2dtSzs1Ox6+HpyamoKFLT0iguLmbn7t149+pVad0o9Y8eVeifiqKerbr+s6Lu/ynq2dmW4//pZ/e/kvrp7ulJVKn62VXN+s9V/82dOHTkSf2fop6tev08K7qq/z6+vuzcsYOdO3YwbswYmjs5cbikjJOnTmFXzjl09/Qk6vRp0kq1Q69K6unFtHEzDpXMDz4Rdbpa2qB7Dy++/HodX369jqFvD6eJY1OiTp0A4MezZ7C2kWGjIbjQFh+f3mzetJXNm7biN2o0zZo5cey44hxOn47C1tYOO9tnPwcPz158sXItX6xcy+Ah79C4iSOnoxT+nz/3AzbWMo3B6cOHDwmcP5O2bdszbLhfhf5v2byNLZu34ec3GqdmThw7phgHUU/8r6ZxoA33Tp+hnqsLdcwVd0CbDOzP3RMny7X37e3Ltq3b2LZ1G2NGj8HJyYmjJf6fijqFrZ2tRv89PDw4Hf10DOzZu4eePXqWW45Ox/D2HezcvoOxY8bg1FzLMezhyelSY3j3nt149ax8nOmK4uLiF7a9qkiK/0Vn7+bmxqVLl5gwYQL+/v5cvnyZCRMmsHTpUvz9/enRowfp6el89dVX1KpVi48++ogLFy4QERHBBx98oHU5Y8aMITMzU7lSwrRp09i1axfr1q2jQYMGLF68mIMHD3Lr1i3ltIrvvvuOAQMGYG5uTlJSEhKJhA8//JAVK1YwcOBAdu7cqdR3cHBg2rRpTJs2TflZ69at6d+/P4GBgdy+fZtGjRpx5coVWrduDUBmZiZmZmacPn0aNzc3Ll++TPv27QkMDOTtt9/mp59+4r333mPVqlWMGTMGgHfeeYdff/2VLVu2UFRUxKxZszh79iyrV69mzJgxLFu2DFtbW1q3bk2NGjVYvHgxhw8fJj4+HolEopzOsWjRIpycnEhISODIkSP079+fdu3aaV2f+WUCboC/b99m3oIFZGZlIZVKCQ8JwbFJExYEBeHu6op7SaZ89969rIuMpLioiA7t2zN/zhy1rDmF6ln/v2/fZl5Q8FP9wACFfkgo7i7dcHd1JS8vD+/+A8jLy+N+Tg4W5ub4+njz4eTJqmIlPybU/Q8o5X9wif/BJf67lvG/uMT/2Wr+F5e9tViqfrJK9MNK6icgKAi3MvWzPjKSoqIiOrZvzzwN9aPpRme11n+R+jSbv2/fZl5g0FP9oECFfnAI7q4uT+u/X/8y9e/Dh1PK1H8N9d/o1Vn/AIUaroK3b99mfoCiDCOplJBgRRkAgcHBuLm64lYynWnP3r1siIykqFhRztzZquXU0HC7uTrbmLzH6vp37jAvOOSpfsACHBs3JiAsDLdu3XB3cVG0wcBB5Ofncz8nB3MzM/p4ezPt/UkqWvey1PUB7t2NY+mSCO5nZ2NoKOWjj2fT0EGxnNryzxbj3KkLzp26kJeXx7gxw8nPzyP3wQNMTM3w9OzJ2PETATAz1vyg1507dwgJDVKew4L5ATRurGiDsPBQunVzwaWb4jwGDR5Ifn4eOTk5mJmZ4+3lzaRJ7wOQkvFAs//34lj+2aIS/w2Z9tEnNGyo8P+L5Z/S0bkzHZ278O2OLWzfGkmDUsu4denqxtvDRgJgbW5Ujv+3CQ4JVvofsKCU/2GhdOvWDRcXxVgYOGiAqv/e3rw/STEWvvf2UdNuO2M6di5d0Tc353FWFgW5Dzk6ZBjt5swi4eyPJJw9B0Djfn1wGjkCSY0aJF+6xKVFS9SWOvM+flSj/7fv3CYo6Gn9BwYEKpfjCwkNwcXFBVcXxRjYt38fGzdtpLiomHbt2jG7zFJh+rVUx3F1j+ECDQ9v3b59mwWBT8dwcNDTMRwUHIxrmTEcubFkDLdTLFdYuhwDI6nGOtIFIet+rNyompg/vusLK+tl4l8X/LZs2ZKioiK2bdtGzZo18ff3Jzw8HIlEglwuZ/z48URFRSGTyYiIiGDatGkEBwfj7++vdTllg99Hjx4xc+ZMtm/fzv3792nXrh3Lli2jffv2ymOysrKwsLBgwIAB7NqluK22f/9+BgwYwMqVK3n//feVttUR/IJiqbMFCxYQGxuLra0tU6ZMYcaMGUrNhIQExo4dy7lz57Czs+Pzzz/nnXfeYfny5YwZM4Y1a9awatUqYmNjqVmzJu3bt+fTTz+lTZs2ANy/f5+5c+eyZ88eUlJSkMlkuLi4EBERgb29vdb1qSn4rVY0BL/ViobgtzrRFPxWJ7pVR2PwW61oCH6rG03Bb3WiKfitVjQEv9VJecFvdVFe8FtdlBf8VhflBb/VhabgtzopL/itTsoGv9WNpuC3OnmRwW/Q2hcX/Ab8RwS/Lz1ubm60bt260nV7n3Dv3j3s7e05efIknp6eunVOUC4i+K0YEfxWggh+K0cEvxUigt+KEcFv5Yjg93+L/5kH3gCioqLIycmhVatWyOVyZs6ciYODAy4uLv+0awKBQCAQCASVUvTvyUn+a/nXPfBWEfn5+cyZM4eWLVsyYMAArKysiI6OplatWmzdulVlya7SW8uWLf9p1wUCgUAgEAgEL4B/VeZX07JbpenVq1e5T1n37duXjh01L0quafK8QCAQCAQCwYtGJH51z78q+H0ejI2NMTY2/qfdEAgEAoFAIBD8g/xPTXsQCAQCgUAgEAgq4pXJ/AoEAoFAIBC87LzKrx1+UYjMr0AgEAgEAoHglUFkfgUCgUAgEAheEsRSZ7pHZH4FAoFAIBAIBK8MIvMr0DkxmzboVN/qrXY61X+UlqZT/aL8fJ3qm3Zx06l+LT3dvgGvID5Op/oAOXK5TvWTzp/TqX6raR/pVN/eXLdtjI7fgPfIsI5O9aV1dPtVqus3sB3t5a1TfYA5bYN1qr9lQkOd6ju3aaJT/dKIxK/uEZlfgUAgEAgEAsErg8j8CgQCgUAgELwkiNUedI/I/AoEAoFAIBAIXhlE5lcgEAgEAoHgJaFYTPrVOSLzKxAIBAKBQCB4ZRCZX4FAIBAIBIKXBDHnV/eIzK9AIBAIBAKB4JVBZH4FAoFAIBAIXhJE5lf3/E9lfgMDA2ndurVOyxgzZgz9+/fXaRkCgUAgEAgEAt3w3MGvRCJh//79WttHRkYikUjUNn19/ecud8aMGZw6dapKOv+LREdHY2trW21PjEZHRyORSMjMzKwWPYFAIBAIBJopKi5+YdurynNNe8jLy3um4+rWrUtMTIzKZ5JqeL2lkZERRkZG5e7Py8ujdu3az13Oy87Bgwfp27dvtdSprqhtYkJ9d09q6htQmPeY+NOneJyRoWIjtbOjobcvj7OylJ/9tW83xYWFlerfTUwk/JvVZN2/j5GhlDn+E3CoV0/F5o/YWD7bsBGAgsJCWjVrxgd+I6ldq1al+vHJKXy6dRtZDx5gZGDAjBHv0FAm02ibl5/PpE+XUqd2Lb6cod1raONTUliyYyfZDx4gNTDgo7eH0lBmU67+5GWfU6d2LVZM+0ArfYC4u3GEBAeRmZWJsZEx8+cvoFGjxmp2CfIEQkKCuXEjBnt7eyI3bNJOPy6OgMAApX5gQCCNG6vrA+w/sJ/IjZEUFRXRoX0HPpn1CXp65V+e4hISCF7+OZnZ9zGWSpn/wVQaN7BXsfnl199YtXkzDx4+pIakBi4dO/DuyBFajYt7ScksitxIVk4ORoYGzBw9Ggc7WxWbP2/9xefbtgOK/vO6YxMmvz1Uq/4DUMfMHIc+fdEzMKTw8SNuHzrIo9RUNTt9K2sa9OyFntQIiURCfHQUmTHXK9W/c+cOcxcsIDMzE2NjY0KDgmjSRP0VrXv37WPdhg0UFRfTsUMH5s2eXWHdK/Xj4pgTGEhmZhbGRkaEBQbQpEz7xickMDcwiOsxMTRo0ICdm7XrO0r9gMAS/40ICwwsRz+Q69dL9Lds1lof4N69u0REhJCVlYWRkRGffDIPB4dGanZyuZyFC0O5efMG9erZs3r1+sr9v3OHOaXqP6yc+t9Tqv6dq1D/oBhjgUGKOjIyNiJwQcVjbOOmjcoxNmvmrArLaTP9A+y6dUVqa8ux4aPI/utvjXaN+vSmud9IJJIaJP1yicufLtXqGg3Q0MqAT0e3wExai+yHBcza9F9uJuaq2UkkMGuAIy4tzKlZQ8Llv7JYsD2G/MKKg7dEeTxrVn3G/ftZGEqNmPDedOrVb6Bm998/rrJreySPHj1EIqlB23bODHrb76X+DhU8H1XK/Lq5uTF58mSmT5+OpaUlTZs2BWDAgAFIJBIcHBy00pFIJMhkMpXNxubpF7ubmxtTp05l5syZmJubI5PJCAwMVO5/Uk7ZcstOe3gyRSEiIgI7OzuaNWsGQHx8PG+//TZmZmZYWFjQr18/bt++XZWqYMmSJdja2mJhYcH7779Pfn6+cl9GRgZ+fn6YmZlhaGiIt7c3sbGxyv2RkZGYmppy6NAhnJycMDQ0ZPDgwTx48ICNGzfi4OCAmZkZU6ZMobDURSQvL4+ZM2dSr149pFIpHTt2JDo6Ws23J8EvwLFjx+jatSumpqZYWFjg6+vLrVu3lLa3b99GIpGwY8cOOnfujL6+Pi1btlTq3r59G3d3dwDMzMyQSCSMGTOmSnWlCTsXN9Kv/ZfYHVtJvXqFeq4eGu0eZ2Rwa/e3yk3bi+qS9Rvo6+7OtiWfMtzXh0Vr1qrZODZowOrgQNaHhxIZEUbm/WwORp3WSn/5zp34dO7EhnlzGOLpzmfbd5Rru+HQEV7Tcmw84Yvde/F27si6T2YyxM2VZbt2lWsbefQYzR2q/l77RYsi6Nd/ALt27mHkyFGEhYdqtJMaSvH3f5fgoJAq6YdFhDFgwAD27dmHn58fwaHBGu3i4+P56uuvWLdmHQf2HSAtLY0DBw9UqL3wy6/o36snu79exciBAwhbsVLNxtjIiJAZH/HtlyuJ/GwJl//4k+9/+EEr35dt3Urvbl3ZFBLE2z17smSTelDVxL4+q+Z8wur5c1m7YB5Z93M4dPasVvoADbx9SL1ymT+/WUXihZ9o6NNHzUaip4fj4CHEn4nmv6u/4s/VX5FzN04r/eCwMAYPGsShAwcYO3o0C4KC1GzuxcezctUqNm7YwJGDB0lLTWWvlnfygsIjGDJgAIf37mGcnx8LQtT7j5FUytRJ77EoTHPfqlA/LFyhv2+vQj9Yvf8ZSaVMfW8Si8LCqqwPsHTpInx9+7Fly7cMGzaCxYvDNdpJpVLGj5/IvHmBVfA/jCGDBnH4wAHGVVL/mzZs4OjBg6RWof4BwiPCGTBgAHv37MVvlB8hoZrHaHx8PF9/8zVrV69l/979pKalVjrG7kZFEzVxEg/k8nJtpLa2vD5xAlH+kzgy+G30Lcxp1MdXa/9Dhzdnx4/x9Ai6wJoTd4gY+ZpGu6Gd7Whez4h+ERfpFfwzAKPd7TXaliZy7QrcPL1YvHwtvfsMZt03yzWfh9SY96bOImLpNwSGf871a79z4Vy01udR3RQXv7jtVaXK0x42btyInp4e586dY8uWLQBs2LABuVzOxYsXq82xjRs3IpVK+fnnn1m8eDHBwcGcOHECQFmONuWeOnWKa9euceLECQ4dOkRubi7u7u4YGRnxww8/8OOPP2JkZISXl5fWmezTp09z69YtTp8+zcaNG4mMjCQyMlK5f8yYMfzyyy8cPHiQn376ieLiYnx8fFQC5NzcXL744gt27NjBsWPHiI6OZuDAgRw5coQjR46wefNmVq9eze7du5XHjB07lnPnzrFjxw5+++03hgwZgpeXl0pg/eeff5KYmIinpycADx48YPr06Vy8eJFTp05Ro0YNBgwYQFFRkco5ffzxx3z00UdcuXKFzp0707dvX9LS0rC3t2fPnj0AxMTEIJfL+fzzz7Wqp/KoqW+AgaUVmTcU2f/sv25Rq25dahkbP5fuEzKysom9fYceXToD4Nq+PfKUVOQpKSp2+nXqKDMf+QUF5OXla/VLP+P+fW7eu4dnu7cA6PbmmySmpZOYlq5m+/utW8SnptC9fTut/c+8n8PN+Hg827YBoOsbrUhKTycxXV3/j7/+Jj41Fc+2bbXWB0hPTycmJgavXl4AuLt7kJCQQII8Qc3WxMSE1m+2Rt/AoEr6169fx8fbBwBPD08S4hNISFDXPxV1Cnc3dywsLJBIJAwaNIjjx4+Xr52ZScxft/BycwPAo3MnEpKSSEhKUrFzatKYeiXZ+Dq1a9OsUSPiE5PKyqmRkZ1NbNxdenTsAIBL2zYkpqWRmJqmYqdfuzZ6NWsCiszv4/w8aki0u6TqGRpiKLMl7Y/fAci8fo06pqbUNjFRsTNv+To58fE8uHdX8UFxMQW56pmxsqSlp3Pt2jV8fRT136N7d+ITEogvU/8nTp7Ew8MDy5K6HzJ4MEePHdNO//p1fL29FfqeHtxLiFfTNzExoW3r1hjoa993VPR9nuh7ck+D/yYmJrRt0xoDg6pNmwPIyEjnxo0b9OjRCwBXV3fkcjlyDcFe3bp1eeONN9HX8jw01b8m/78/eRLPUvU/dPBgjmhR/1AyxmKu4+2lqCNPD0/FGNZmjA0cxPHvyx9jAKlXf+VhmWtmWep7uBF/5gcepyvu2t3au58GPbtr5b+5US1a2htx4P8UY/LYlRTqW+hTz1y9LZvXM+Lc9XRlpjf6jzT6d9R8p+0J2VmZ3Pn7Fp27KRIr7Tp2ITU5iZRk9WtAw0ZNsLZR3NmpXbs2DRo2Jjk5UavzEPw7qXLw6+joyOLFi3FycqJbt24AmJqaIpPJsLKy0krjyS2m0lvPnj1VbN544w0CAgJo2rQpfn5+tGvXTjmf90k52pQrlUpZu3YtLVu25PXXX2fHjh3UqFGDtWvX0qpVK1577TU2bNhAXFycxiyqJszMzFi5ciXNmzfH19eX3r17K32LjY3l4MGDrF27lm7duvHmm2+ydetW4uPjVeYo5+fn89VXX9GmTRtcXFwYPHgwP/74I+vWraNFixb4+vri7u7O6dOKTOStW7fYvn07u3btolu3bjRp0oQZM2bQtWtXNmzYoNQ9cOAAvXr1Us6hHjRoEAMHDqRp06a0bt2adevW8fvvv/Pf//5X5ZwmT57MoEGDeO211/jqq68wMTFh3bp11KxZE3NzcwCsra2RyWSYlPmCLs3jx4/Jzs5W2fJKBf0AtYyMyH/wQOVnZ37OfWppmLJS29SUJoOG0njgYMxbvq5N85CcnoaFqakyMJFIJFhbWJCUlqZmK09JYdycefR9730MDfTp6+FeqX5KZiYWdU2oWVrfzIzkMtM2Hj5+zFd79zN1yGCt/FbqZ2ViUbeuir6VqRkpGZkqdo8e5/H1gYNMGTSwSvoAyclJWFpaKYN/iUSCzEZGUmL1XPCTkpKwsiqjL5ORqEE/MTERW9unUwrsbO002im1U1OxNDdXaV+ZlRVJKepTBp6QlpFB1PnzdC75wVIRKRkZWJiWaV9zM5I1/PhITE1jYkgYAz76GKm+Ab27da1UH6B23brk59xXGQN52VnUrqs6tgwsrSguKKDJkLd5bfwEHPr0Q8/QsFL9xMREtfq3lcnUAju5XI5dqbqvZ2eHXIs+kKihfW1tZFodqw0a9WU21aYPkJycjKWlpUoZNjY21RL0aFv/iRrqv6K+XxpNY8xGZlPuGJOVmpZlZ2tHkhY/BCvDUGbDg1Ll5coTMbTRPD2rLLZm+iRn5VFYammDhIzH2GkIfn+7k033NyyR1qlJrZoSfNvZUF+DXWnS0lIwNTNXGcfmllakpSVXeFxmZjq//HyON9u01+o8dEFR0YvbXlWqHPy2a6d9Bqs8jI2NuXr1qspWOoADRfBbGltbW5KTK+60mmjVqpXKPN9Lly5x8+ZNjI2NlYG3ubk5jx49UpkOUBEtW7ZUDqiyvl27dg09PT06duyo3G9hYYGTkxPXrl1TfmZoaKgy/8vGxgYHBweVOcuKC7FC9/LlyxQXF9OsWTOVHw1nzpxR8fvAgQPKKQ+gCJqHDx9O48aNqVu3Lo0aKeazxcWp3jrt1KmT8m89PT3atWun4q+2REREYGJiorKtPf59lXUAHqakELNlI7f27CTu+FHMW7SkbhNHrY5Vy+CWc3/H1sqK9eGh7PtyBfkFBfxw8Rct9cvKq+uvOfAdfbt1xdLUVCvNigrQpL/20GH6dOmMZQU/RqpQBMVU7z0wCZWfw1NfJFrZPYt2Tm4uH4WEMWrgAJprmHOpjX55VSOztGD1/LnsXryQvIICzl65opW+Zk31uw6SmjWo27gxcUePcG3dGvKys7Hv5a2VfNkxUF4dqdS9VspPjlP9v9r7j5r/1SpfThnVV4jW2s9Y/6B9Py3rT7W+Pre0VhXnyJb1o7zD9/2cyNn/prN9els2f9CGWPmDSuf7ahSs5Lwf5uayfHEQPn0H4dBIu+8awb+TKj/wJpVKn7vQGjVq4OhYcceqVeahEYlEonarXhvK+ltUVMRbb73F1q1b1Wy1zVxX5Ft5F5Xi4mKVi48mjYp0i4qKqFmzJpcuXVIJvAFlwJyYmMjly5fp3bu3cl+fPn2wt7dnzZo12NnZUVRUxOuvv67VFI9nmew/e/Zspk+frvLZzY2qD4fk5+RQSypVXJhK6quWkTH5OTkqdkWlMsYFDx6QeTMWqcyW7Fs3K/TB2tyClPR0CgoL0atZk+LiYpLT07GxsCj3GEN9fTydnTlx/jyenZwr1LcyNSUlM4vCwkJqluinZGZibWamYvfnX39x8dp/2Xr8OHn5BeTk5jIhYiFrZn9Ssb6JKalZqvqpWZlYmZmq2P1x+2/+7/p1tp44SX5BPjm5D5n46VJWf6z5obojRw6zfcc2AHr06ElycjIFBQXo6elRXFxMUlISNuU8tKcNhw4fUo6rXr16kZScpKYv06Avk8lUbtXKE+Ua7Z5gY2lJclqaSvsmpaZiY2WpZvsg9yHTAoPo1qE9w/v30+o8rMzMSM3IUKn/5IwMrEvugGjCQF8f9/Zvcerni3i0rzxjlJedTW1jY5UxULtuXfKys1TtsrK4f+eOIksMpP/5O45D36lUXyaTkVSmfROTklQy7KD44V76VnxCQgK2WvQBmY0NSUka9J+j/6jrJ1W7/vHjR9m5UzE/39OzOykpqueQnJyMtfXzn4O29S+ztVXp+wkJCRX2/UOHD7Ftm2IM9+zZs0pjrHTWWZ4ox6acB2irQm5iEtJS52QosyE3qfyMcv+OMsZ5KObqHvolCZmZPjVrSJTZX1vTOiSkP9J47Mqjt1l59DYAvd+y5mbiAzWbH384xfHD+wBw7uxKRlqqyjhOT0vFwsJao/7Dh7ksiZhPm7c64tW76nfTBP8unnups1q1aqk8lPWieNZy27ZtS2xsLNbW1jg6OqpsFd3O15YWLVpQUFDAzz//rPwsLS2NGzdu8Nprmifza0ObNm0oLCwkOTlZze8nF7uDBw/SqVMnLC0tleVeu3aNefPm4enpyWuvvUZGmVvzT7hw4YLy74KCAi5dukTz5s0BlJlzbeq7Tp061K1bV2Ur+/R74aOHPEpLxbSZEwB1Gzch/342+ffvq9iVvr1bo1YtjBs68FDD0/BlMTOpS9OGDTlx7jwAZy5eRGZpiW2ZHzfxJV+ugDLr28S+8ocozIyNcaxfj1O/XALg7K+/YmNujsxCNTj65pOZbA5YwOaABcwZ7YeDnW2lgS+AqbERTezsOHVZkUX88bffsTEzR1Ym+Pr6o+lsmjubTXNn88mIETjYysoNfAF8fHqzedNWNm/ait+o0TRr5sSx44r5hadPR2Fra4edrV2l/pWHb29ftm/bzvZt2xkzegzNnZpz5OgRQDHn0NbOFjs7dX0Pdw9OR58mLS2N4uJi9uzZozYNqjTmpqY4NW7EsZJpSlHnf8LW2hq7Mrdbcx8qAl/nNm0YP+xtrc/DrG5dHBvYc+Ln/wPgh8tXkFmYI7NU/fGUkJJCQcmYyC8o4McrV2lcv56aniYKcnPJTUrE4vVWAJg2f43HWZnkZakGv+nX/ouhrR01SsZg3cZNeKhhzmJZLMzNae7kxKEjivo/cfIk9ezsqFem/rt7ehIVFUVqSd3v2r0b7169tNc/elShfyqKerbq+s+Khbk5zZs7cejIE/1T1LO1fW79Xr28WbduI+vWbWT48FE4OjbjxAnF3NczZ04jk9mqBajP7L8W9d/D05NTpep/ZyX179vbl21bt7Ft6zbGjB6Dk5MTR48p6qjCMeZRZozt3UPPHuWPMW25d/oM9VxdqGOu+OHfZGB/7p44Wa79/p8T6Rtxkb4RF1l9Io7/3r1Pvw6KcevVxor49EfEawh+a+vVwNhAkaszk9bCv2dD1py4o2bX1cWTkEUrCVm0kt79htDQoQnnz0YB8MvP57C0ssbKWj3of/ToIUsi5vP6m23pN2h41SuimikqfnHbq8pzv+HNwcGBU6dO0aVLF+rUqYNZmeyXJoqLizXOS7K2tqZGDe3i8WcpF2DEiBF8+umn9OvXj+DgYOrXr09cXBx79+7l448/pn79+lrplEfTpk3p168fEyZM4JtvvsHY2JhPPvmEevXq0a+fdpknTTRr1owRI0bg5+fH0qVLadOmDampqURFRdGqVSt8fHw4ePCgShlPVrNYvXo1tra2xMXF8cknmoOvL7/8kqZNm/Laa6+xbNkyMjIyGDduHAANGzZEIpFw6NAhfHx8MDAwqHBJOW2IPxNNfXdPrNq8RVFeHvdOK+ZM27m6c//239y/c5u6jZpg3vJ1iouKkNSoQfZfN8mM0W4qxoxxY4lYvZrNBw8iNTBgjv9EABatWUeXtm3o+lZbrly7zq5jx6hRowaFhUW0bfEaflpmBz8YOpQl27ax/cRJDPXr8PEIxQXzs+076PT663Rqpd385PKYOnggS7/dybenojDUr8NHJcHbsp27cG7Zgk4tWz6XPsAns2YTEhrExo0bkEqlLJgfoNwXFh5Kt24uuHRzIS8vj0GDB5Kfn0dOTg59+vri7eXNpEnvV6g/Z/YcAoMD2RCp0A8KePq0e3BoMK7dXHF1daV+/fr4T/Rn3H/GUVxUTLv27SodK59MmkTw518QuWsPUkMDAkqWeAtbsZJuHTrg0rED3353iD9jY3n4+BHRJT/uPLt0YezQIZXWzYcjhrMochPbjh5Dqq/PrLGjAViyaTOd33yDzm++ydWYG+wpeYi0sLCINk5OjOrtU6n2E+4cPYKDb19knbtSmPeY298dBKChjy+ZsTfIir1BfnY2iefP0Xz0OIqLisi/n82do4e10l8wbx7zFixg7bp1SKVSwkIUKwEEBAXh5uqKu5sb9vXrM+m99/AbO5aioiI6tm/PAC1f4hMwZzbzgoJZsyESqVRKeKCi/ywICcXdpRvurq7k5eXh3X8AeXl53M/JwdOnN74+3nw4ebIW+nOYFxjEmg2K/hMeFKjQDw7B3dXlqX6//k/1vX3w9fHhwymV6wN89NFMFi4MZevWTRgaSpk9e55y3+LFEXTp0pUuXbqRl5fH8OFDyM/P58GDHAYP7kfPnl5MnPhe+f6X1P+akvoPL6n/BUFBuJeq//ffe49RY8dSXFREh/btGViFlyjNmT2HoKAgNpTUUWBAoHJfSGgILi4uuLq4Ur+eYoyNnzBeMcbataN/v4rLaTtjOnYuXdE3N8d1xXIKch9ydMgw2s2ZRcLZH0k4e44HCQn8uXYdHt98haRGDZIvXeKvg4e09n/ethgW+73Ge70cyHlUwMxNT6/v4SOac+q3VE79noqxQU22fdiWoqJiatSQEHn6LlG/qz/DUZYxE6aw5qvP+G7/txgYGjLhvafJgXXfLKfNW860befM90cP8PetG+Q9fszliz8B0N65K30HDNP6XAT/LiTFVZj84+bmRuvWrVm+fLnys++++47p06dz+/Zt6tWrV+mSYZGRkYwdO1bjPrlccbtTUzn9+/fH1NRUuaqCpnIDAwPZv38/V69eBRSrLmRmZqq9DCMxMZFZs2Zx5MgR7t+/T7169fD09GTJkiXUrVu3Qv81aU6bNo2rV68qH5jLyMjggw8+4ODBg+Tl5eHi4sKKFSuUS8NFRkYybdo0lZdGlPVdU1n5+fmEhoayadMm4uPjsbCwoFOnTgQFBdG4cWMsLS357bfflOUAnDx5kqlTp/LXX3/h5OTEF198gZubG/v27aN///7cvn2bRo0asW3bNj7//HOuXLlCkyZNWLlyJR4eT5cfCwkJYdWqVSQlJeHn56eyukVl/PH1l1rbPgtWbz3/PPSKeKThQbnqpKjMA4HVjWkXN53q19KrWbnRc1Agv6tTfYCcCpZzqg6Szp/TqX6radqtH/2sSAoLdKpf1bmiVSX1/rOtSa8tliZVW82iqjzK1+3d1aNaziN/Hua01bzUYXWxZULVl3usCs5ttHteoDqYtFS7JTerg1UfVf6Q9/8iVQp+BS8ve/fuZd68eWqrOFTGk+D3ypUrOns1tAh+K0YEvxUjgt/KEcFvxYjgt2JE8Fs5Ivj93+K5pz0IXg6MjIxYtGjRP+2GQCAQCASC5+BVnov7oqj24Ldly5bcuaM+ER3gm2++YcSIEdVdZLVS0VzWo0ePKtc2ftmo6AEhgUAgEAgEAoGCag9+jxw5ovIms9LYaLn49T9J6Tm3ZalXT7snuf9NODg4VO+ajwKBQCAQCJ4ZkfnVPdUe/DZsqNt5N7qmsvWHBQKBQCAQCAT/XsScX4FAIBAIBIKXBHEzVvc890suBAKBQCAQCASCfwsi8ysQCAQCgUDwklAkUr86R2R+BQKBQCAQCASvDCLzKxAIBAKBQPCSIFZ70D0i+BXonB/MdfsGtjck5jrVz9SX6lT/oUS3b2/qX0u3b89CotsrdZzEWKf6AAm1dVtHVxt016l+Sx3fJs15pNs+qqfjtwSaSB7rVD8jR7f9x8yojk71df32NYDwywt0qm9vs1+n+oL/LUTwKxAIBAKBQPCSIDK/ukfM+RUIBAKBQCAQvDKIzK9AIBAIBALBS4LI/OoekfkVCAQCgUAgEFQbGRkZjBo1ChMTE0xMTBg1ahSZmZkVHiORSDRun376qdLGzc1Nbf+wYcOq7J/I/AoEAoFAIBAIqo3hw4dz7949jh07BsDEiRMZNWoU3333XbnHyOVylf+PHj3K+PHjGTRokMrnEyZMIDj46UOaBgYGVfZPBL8CgUAgEAgELwn/9ndcXLt2jWPHjnHhwgU6duwIwJo1a+jUqRMxMTE4OTlpPE4mk6n8f+DAAdzd3WncuLHK54aGhmq2VUVMexAIBAKBQCB4BXn8+DHZ2dkq2+PHz7c04E8//YSJiYky8AVwdnbGxMSE8+fPa6WRlJTE4cOHGT9+vNq+rVu3YmlpScuWLZkxYwb379+vso8i+BUIBAKBQCB4SSgqfnFbRESEcl7uky0iIuK5/E9MTMTa2lrtc2traxITE7XS2LhxI8bGxgwcOFDl8xEjRrB9+3aio6OZP38+e/bsUbPRBjHtAQgMDGT//v1cvXr1n3ZFIBAIBAKB4IUwe/Zspk+frvJZnTqaX6oSGBhIUFBQhXoXL14EFA+vlaW4uFjj55pYv349I0aMQF9fX+XzCRMmKP9+/fXXadq0Ke3atePy5cu0bdtWK214yTO/EomE/fv3a20fGRmp8gSgra0tQ4cO5e+//67wuBkzZnDq1Knn9FYVNzc3pk2bVq2aAoFAIBAI/rcpKi5+YVudOnWoW7euylZe8Dt58mSuXbtW4fb6668jk8lISkpSOz4lJQUbG5tKz//s2bPExMTwn//8p1Lbtm3bUqtWLWJjYyuv2FK8tJnfvLy8Zzqubt26xMTEUFxczPXr1/H396dv375cvXqVmjVVX6FZXFxMYWEhRkZGGBkZVYfbL5S8vDxq1679T7vxTJgY1cGzQxP06+jxOK+QqIt/kZH9UM3OzsqY3t2cyLr/SPnZnqg/KSys/ImApMR41n29jJz72RgaShnn/yF29Ruo2d2MvcaW9asAKCwspKlTC97x86dWrVoV6qckJbA9ciUPcrIxMJQybPRkZHb2ana3b8WwZ9vqEv0CGjm+xoC3x6NXiX5qspw9W74k98F99A0MGTTifaxt65drn5+fx6rFs6hVuw6TPl5YofaduDjmBAaSmZmFsZERYYEBNCnzUEF8QgJzA4O4HhNDgwYN2Ll5U4WaavoBgWRmZmJsbERYYGA5+oFcv16iv2Wz1voACQn3+GLZIrKzs5BKjZg6bSb2DRzU7H779QpbNq3l4cNcJJIadOjYmRGjxlWagUhOTGDT2uU8yLmPgaGUUeOnYltPvf/8dfM6OzZ9DSjat0nTFgwZMaHS/mNqrI93Z0cMSsbAsZ9ukpalPgbsbeoy0L05GdlPx8C2439QUFhUof6duDjmL1hARmYmxsbGhAQFqbXBE/bu38+GDRsoKi6mY/v2zJk9Gz29yr8e7t6NIzQshKzMTIyMjZk7Zz6NGjVSs5PLEwgLC+FG7A3q17dn/brISrUB4uLiCA4p6afGRsyfH0DjRurnkJCQQEhIEDE3YrC3b8DGyMr76p1791gQvpDMLMUYCJo9iyYODqq68kQWLFxITOxN7OvXY9vqb7Ty+wl3794lPDxY6f/s2eXVj5zw8BBiS+pn7doNlft/J445CxaUjDFjwoKCaNJEvW727NvPupK2de7Qnnlati1AQysDPh3dAjNpLbIfFjBr03+5mZirZieRwKwBjri0MKdmDQmX/8piwfYY8iu4TreZ/gF23boitbXl2PBRZP+lOUnVqE9vmvuNRCKpQdIvl7j86VKKC7V73fa9e3dZuDCU7KwspEZGzJo1FwcH9fpPTJSzaGEYN2/eoF69+nz9zXqt9F81LC0tsbS0rNSuU6dOZGVl8X//93906NABgJ9//pmsrCw6d+5c6fHr1q3jrbfe4s0336zU9s8//yQ/Px9bW9vKT6AUL03m183NjcmTJzN9+nQsLS1p2rQpAAMGDEAikeBQ5qJUHhKJBJlMhq2tLe7u7gQEBPDHH39w8+ZNoqOjkUgkHD9+nHbt2lGnTh3Onj1LYGAgrVu3BuD48ePo6+urrUc3depUXF1dAUhLS+Odd96hfv36GBoa0qpVK7Zv3660HTNmDGfOnOHzzz9XZqFv374NwH//+198fHwwMjLCxsaGUaNGkZqa+kx11KNHDwDOnDlDhw4dqFOnDra2tnzyyScUFBQoj3v8+DFTp07F2toafX19unbtqrw1AajUS5s2bTAwMMDDw4Pk5GSOHj3Ka6+9Rt26dXnnnXfIzVW/8D0Lrm814s+/ktl29DeuxMhxb6d+QXpCRvZDdp74Q7lpE/gCbFr3JS7uXoQvXY2X7yA2rPlco519g0bMC1lGYMQKghau5H52FmdOHa1Uf/fWb3Du1p3ZIStx79mfnZtWabSzs3dg2pxFfDR/KTMWLOPB/Wx+Ovt9pfoHvl1N+y7d+XD+53Tz7Me+7V9VaH/y0A7sGzWrVBcgKDyCIQMGcHjvHsb5+bEgJFTNxkgqZeqk91gUpr6vUv2wcIX+vr0K/eAQzfrvTWJRWFiV9QG++nIZPXv1ZtU3mxgw6G1WfrFEo52RkRHTP57LilUbWLLsK/784zfOnomqVH/7xlV0cetFwMKv6O49gK0bVmq0q2/fiFkLljAneDlzQ74g534WP0Yfq1S/Z8fG/BabxPqDV7n433h6OTcp1zYt6yGbjvym3CoLfAFCQkMZNHAg3+3fz9jRowks53blvfh4Vq1aReT69Rw6cIDUtDT2aXnHbfGni+jbtx87duxixPCRRCzU3JZSqZQJE/wJDAjWuL88Fi6KoH+/AezetYeRI/0IK6cvSqVS/P3fIzhY+74atuQzBvXx5cDWzYx+ZxhBiz5Vs5FKDXl//HjC58+tkt9PWLJkEX369Gf79p28885IFi0KL8d/QyZM8GfBgopvKZcmKCyUIYMGcvjAfsaNHs0CDe17Lz6elatWsWnDeo4ePEBqahp7q3A3NXR4c3b8GE+PoAusOXGHiJGvabQb2tmO5vWM6BdxkV7BPwMw2l09EVCau1HRRE2cxIMyy1uVRmpry+sTJxDlP4kjg99G38KcRn18tfb/s88W4+vbl02bdzBs2AiWfKp5LquhoZRx4ycwd26g1tq65EXO+dUFr732Gl5eXkyYMIELFy5w4cIFJkyYgK+vr8pKD82bN2ffvn0qx2ZnZ7Nr1y6NWd9bt24RHBzML7/8wu3btzly5AhDhgyhTZs2dOnSpUo+vjTBLygmOOvp6XHu3Dm2bNkCwIYNG5DL5SrBWlV4sv5bfn6+8rOZM2cSERHBtWvXeOONN1Tsu3fvjqmpKXv27FF+VlhYyM6dOxkxYgQAjx494q233uLQoUP88ccfyvXrfv5ZMeg///xzOnXqxIQJE5DL5cjlcuzt7ZHL5bi6utK6dWt++eUXjh07RlJSEkOHDn2mOvrmm2/+v707j4tx++MA/pnSvmjVJq2KKEqylFSWUmTfyZKdZF+urcgu2e7PRdnJtYeLUNmyU4hoIYX2lFuh7fz+6DaaZlqfmaY479er16uemb7PmWe285zne74Hnz59grOzMzp27Ijnz59j9+7dCAgIgI/Pzy+BRYsW4cyZMzh06BCePXsGQ0NDODo6IisriyO2l5cXdu3ahXv37iEpKQnDhg3Dtm3bcPz4cfzzzz+4fv06du7cWeO2VkZKoglUFWUQ86G00//uYxbkZSQgJ82/UeyvOdn4kBCPLjb2AIAOVtbISE9FRjr3pRgJCUn2SEhxUREKCgrAEql6VPDfrzn4mPgOHTqVnhCZWXRGVmYasjLSuO4rLi4BUdH/4hcXobCwoNpRx9x/c5D88T3aWXYDALRp3wlfMtPwJZM7PgAkxEcjMz0Z7TvaVhkXADKzshD95g369ukDAOjVwwEfP3/Cp8+fOe7XtGlTWLRvDynJ2tVQZMd3LovfAx8/f+Yd37w9pKQkeYWpUnb2F7yLj0V3+9ITwC5dbZGWmoK0VO7JFPoGLaGurgkAEBcXh56+AVJTK//CBYB/v2Yj6cM7WHWxAwCYW3ZFRnoqMjO4Xz/iEhIQbVLx+a36o1VaogmaKcng9ft0AEBMYhaaykpAXob35cbayszKwps3b+Di7AwA6NmjBz7xeA4A4MaNG3Cwt4eysjJYLBaGDhmCq8HB1e7jy5csxMS8hWNvJwCAnZ09kpM/IzmZex/y8k3Rrl17rvy9qmRlZeHt2zdwcip9HTnYO+Dz50/4zOMxNG3aFO1r8VrN+vIF0bExcP5vAKFnd1t8TknG52TO109TeXmYm5nW+j0A/Dw+vXs7Aih/fLhfe/LyTWFm1q7G9Uozs7IQHf0Gff97fnv15P0eu3bjBno42EPlv+d22JAhuHy1+ucWAJRkxdBGWxZBj0pf81cj0tFcWRJaStzPYSstWYS/yWKP9N6MysSATlWXosqIfI5v6elV3qe5gx0+3bqNH1lfAADxZ8+jRe+eNWr/ly9fEBsTg169So+/ra0dkpOTkZLC6/jLw9S0HSTr8FlE8Xbs2DGYmpqid+/e6N27N8zMzHDkCOfVvbdv3yInJ4dj24kTJ0AIwciRI7liiouLIyQkBI6OjjA2Nsbs2bPRu3dv3Lhxg+vKfnUaVNqDoaEhNm3aBADsswMFBYU613P7+PEjNm/ejObNm8PIyIg9wrp69Wr2qGlFoqKiGD58OI4fP84usRESEoIvX75g6NChAAAtLS0sWLCA/T8eHh64evUqTp06hU6dOqFp06YQFxfnqkW3e/duWFhYYN26n2f/+/fvh7a2NmJiYmBkVP2oXfljBADLli2DtrY2du3aBRaLhVatWuHz589YvHgxVq5ciW/fvmH37t04ePAg+vzX2dm3bx+uX7+OgIAALFy4kB3Lx8eHffbk7u6OpUuXIj4+nl1jb8iQIQgLC8PixYsrbd+PHz+4yqQUFhZATOxnx1ZWWhx53wo5ahn+m18AWWkJ/JvPne6iICeFob3aghCC6PfpeBXPuwNYXlZWBhQUlNhvCBaLBWVlVWRmpENFlTvnKCM9Fbu2+iAtNRlm7Tuiu4NTlfGzv2SgaYX4Ckoq+JKVDiUV7lmuWRlpOLB7IzLSU9C6rQU6d+P9+iuT8yUTcvKKHPGbKqog+0sGFJU54xf8+I7LZw5izJTFyEivulMHACmpqVBVVWV3+FksFjTU1JGckgItTc1q/79O8dXV+BYfADIz0qGkpMxxfFRUmyE9PQ3N1Cr/vPjyJQv3w29j+SreI3Ds+2VloKki5/FXUlZFVmYGlFW4Xz+ZGanYs2M90tOS0dasA2zselcZX05GAnn5BRzvga95BZCXEcfXPO4yQ0ryUhjrbApCgKj4NETGcHfCy0tNSeF6DtTV1ZGSnMz1HCSnpHBcMtTU1ERyDWZkp6amQUVFhWMfamqluX4aGsyf59S0VKiocD+G1NQUaDJ8HaWkpUFVWQVNmvx8ftWbqSE5LRWaGszqh5ZJS0uDsnLF46OG1NSUWl+irSiFx/Oroa6O5ArPb0pyCjTL7UtLU7PGs+01FCWRllOA4nLDg5+//ICmkiQ+ZX3nuO+LD18xwkYTx29/QkFRCfpaqqE5j05ybUmrqyGvXHvzk1MgXYOcUQBIT0uFiooKe+CBxWKhmZoaUlNToa7O7PgL2q+wvLGSkhJ7ELMyhEdB4ylTpmDKlCk876+trY1bt27xpX0NauTX0tKScYycnBzIyspCRkYG2traKCgowNmzZzlyY6vbz+jRo3Hz5k32CMOxY8fg7OwMRUVFAKUjwWvXroWZmRmUlZUhKyuLa9euITExscq4T58+RVhYGDvHWFZWFq1atQJQOpxfExXbHh0djS5dunCMJFpbWyM3NxcfP35EfHw8CgsLOS4JiImJwcrKCtHR0Ryxyo+Cq6mpQVpamqO4tJqaGtLSqu548iqbcu38IR735HzRVzYQmv4lH4cvReDU9ShcCY9FWwM1GDRXqrINP2NyBq3q80RFVQ1e63di6/+OoLCoEE8f16wWIecOKt+DkkozzF/hC69N/igqKsTLiIfVhqvprNirQUfRqZsj5BVqdlxKY3P+Tao8OrXHdewF8GHOAteDqFJ+fh7WrV6OAYOHw8CwJukhFR9D5TtQVlHDH6u3Yf22gygqKkLk0/vVRq8YrbKnOzUrD3+dfYojl1/i/K23aNdSDcYtlKuNz/0kV97+8s9XVY+Tx39W2AW/X0ecf/MzviBj/9yH4N4H3LErCV7+ua3l+7xizMpeo+cepuDO6ywEzrPAEU9zxCbnVZnvW8tGVN+AusSifmsNauRXRkaGcQw5OTk8e/YMIiIiUFNT4xmzuv1YWVnBwMAAJ06cwPTp03Hu3DkcOPBzAoKvry/8/Pywbds2mJqaQkZGBnPmzKl2kl5JSQn69euHjRs3ct1W05GAim3nVTqk7AOLxWJx/F7d/5WfoMNisbgm7LBYLJSUVJ1ryKtsyoGLz2Gso4J2RqUjKrFJmZCREgeL9fOzSFZKHLn53CNehUU/JzbkfStAbGImNFTlEP8xi+u+9+6E4Nrl8wAAq67d8SUrA8XFxRAVFQUhBFmZ6VBWUa2y/ZKSUrDq0g0Pw2+iU5fuHLc9uX8Tt26ULs1o3tEGOV+yOOJnf8mEolLV8SUkpWDe0QbPHt6GeUcbjtsiHt1CeNglAICZhTVysjM54ud8yYCCIvdkgw/v3iDmdQTCgs+gqLAA3/LzsGPdPMz+YyvPNqirqSE1NQ1FRUVo0qQJCCFISU2FBsMVczjjp/I9fljoNVw4fxoA0M3WHpmZnM9vRkYaVFW5R90B4Ft+PlavWoKOnbqg/4ChPO/zMDwUIcEXAACWnboh+wvn8f+SlQEl5aone0hKSqFDJxs8vn8blp04U1BM9FRg2bp0VO5NQgbkpDnfA3LS4viax/0ZUlD48z2Qm1+A6IQMaDWTw9vETI77Xbx0CUf+G2lxcnJCWhr3c6zO43NGQ12dI5UgOTm50ufqypXLOPF36fyGXj17IT2dcx9paak1ms1dmcuX/8HxwGMAgN69HLkeQ2pqKtSqGNmvKfVmzZCWnoGiomI0aVL6/Kamp0GjWd3bDgBXr17G33+fAAD0rPT48KH96upI5fH8VvweUdfgfG4/f06u8krqgE7qmOhQmqt76Ukq1BUlISrCYo/+aihI4HOFUd8yu64kYNeVBACAS4dmiEvJY/IQAQD5KamQKfeYpNXVkM+jikCZa8FXcOpU6fF36NELGRnpKC4ugqho2fFPY/T6rC+/wshvQ9egOr8ViYmJobiGszrLiIiIwNDQkPG+R40ahWPHjqF58+YQERGBi4sL+7Y7d+6gf//+GDNmDIDSTm1sbCxat/45GUBcXJyr7RYWFjhz5gx0dXVrPNu2OiYmJjhz5gxHZ/bevXuQk5ODlpYWlJSUIC4ujrt372LUqFEASvOfnzx5IpBSbBISElxlUsTExPH2Qwbefvg5sa+FugKMdFTwNiED+s2V8DW/gGfKg7SkGPK/l+ZrizURgY6mAqLf884T69qtB7p268H+O+r5E9y/Gwab7j3x9FE4VFTUeKY8pKUmQ0m59BJiUVEhnj2+j+YtuCfgWXaxg+V/OaAA8OZVBJ4+vAWrrg548ewBFJVVeaY8ZKSnQFGp9PJb6ajvA2g01+G6n7lVd5hb/exwx0RH4vmTO7DoZIdXkQ+hoNSMK+UBADyW/Jzo9S72Fa6eP1JltQdlJSW0MjbGpStXMKBfP1wPCYWWhibfUhKUlZTQqpUxLl2+ggGu/XA9JARaGhqM49s79Ia9w890gmdPH+NW2HU49HTC/Xu30UxNnWfKw7dv37DaawnMLTpi2IixlcbvZO2ATtYO7L9fv3yGR/dvootND0Q8uQdllWY8Ux7S05KhpKQK0f9eP5FPH0BLm/v5ff0+A6/f/3wP6GkpwERPFa/epcOohRJycn/wTHmQkRJD3ref7wEDLUW85JH6069vX/Tr+3MyUHh4OP65fBn9XV1xIyQEmpU8Bz179MD4iRMxdcoUKCkp4dTp03B0dOR5jPr0cUafPs7svx88uI/ga1fh4twXN2+GQV1dg1HKg7OzC5ydf37W3r9/D1evXkHfvv0QGhYKDQ1NxikPAKCkqAjjloa4fP06XPs44cat29BUV2ec8uDk5AwnJ87jc+1aMJydXcodH+aX3Nnv4cuXMcDVFddvhEBLk/v57dWjB9wmTMS0KVOgrKSEk6dPo08lzy0AnH+YgvMPf6YZdG+jjP5Wajj7IAVO5qr4lPWdK+UBAMSbiEBCTAT/fiuCoowYpvbWwbZL7xg/zo9ht+Cw5394tf8AfmR9gcGgAUi6fqPS+/d27IPejn3Yfz96+ADXrwfDyckFt2/fhLq6eoNPeaDqR4Pu/Orq6iIkJATW1taQkJBgpx3Uh9GjR8Pb2xtr167FkCFDOCZqGBoa4syZM7h37x4UFRWxdetWpKSkcHR+dXV18fDhQyQkJEBWVhZKSkqYOXMm9u3bh5EjR2LhwoVQUVFBXFwcTpw4gX379tU6YRsAZsyYgW3btsHDwwOzZs3C27dvsWrVKsybNw8iIiKQkZHB9OnTsXDhQigpKaFFixbYtGkT8vPzeS4bWF9uPX0Ph4766NBaEwWFxQh59POD0s5SDwmfvyDhczb0myuhrUEzlBACERYL8R+z8KaSzm9FbhNnIWCPHy5fOAlJKWm4T5vLvu3gvh1ob9EJ7Tt0wtvol7h25TxERERQUlyCVm3M0G/AiGrjDxk9FScO7kLIlbOQlJTGyAmz2Lf9ffh/aNOuI9q264j4t1G4HXIJLBERlBQXw9DYFL1ceI8+ltd/+BScPfYnbl07BwlJKQweM5N927njf6GVqSVam9YtVWjVH0ux3Hs19h04CBkZGazzWgUAWLnGB/a23WDfvTsKCgrQZ8BAFBQU4N/cXPRwdkFf5z6YO2tWNdGBVX/8geVe3th34EBpfG+v0vir18C+u+3P+P0H/Izfxxl9nZ0x16P6+AAwfeZc7Ni2EadPHYe0tAxmz/mZi/7nji3o2KkrrDp1xaULZxEb8wbfv3/Hg/t3AQBdrbtj6PDRVcYfOW46jgTswLVLpyEpJYWxk+awbzu2fydMza1gZt4JsW+iEHrtAkRERFBcXAzj1mbo4zq82vZfe/gOfboYolNbLRQUFuPKvTj2bb076yP+4xfEf/wCI21ltDNSY78HYhIzERVf/XtgxbJlWLFqFfz374esjAzWrP5ZacFr9WrYde8Ou+7d0bx5c0yfNg3jJkxACSGw6tgRA/v3rzY+ACxctARr167BkcOHIC0jg+XLVrJvW79hLWxsuqGbjS0KCgowbPhgFBYWIjc3FwMG9oOjYx9MnzajyvhLlizF6jWrcfBQ6et01cpV7NvWrvVBt27dYGtb+loaNHggCgsLkJubi779XNCnTx/MnFH5a2n5/HlYuX4jAo4eg4yMNNYsXQIA8N60Gd2tu8LO2hoFBQXoN2o0CgoKkZuXB8chQ+HSuzdmT5lcaVyO47NwMdat88GRI4cgIyODZctWsG/bsGEdbGy6wcamGwoKCjBixBAUFBQiLy8Xgwa5ondvJ0yr4visWr4My1euwr6A/aXvsTWlz+9K79Ww794d9nbdod28OWZOn4axEyaAlJQ+t4MG1Oy5BYDlx99ik1trTHfURe73Iiw6/DNVbt3oVgh5kYGQlxmQkxLF8bkWKCkhEBFh4WBYEkJfZlYRGbBYMA+atjaQVFJC953bUJT/DVeGjoDlH4vx+c5dfL4TjrzPn/HKPwAOe3aDJSKCtKdP8e7CpRq3f+68hdi0cS2OHzsCaWlpLF6ynH3bls3r0aWrDaytS4//mNHDUFhYevyHDR2AXr0dMXny9Brvi59odobgsYggEp3qwM7ODu3bt8e2bdvY2y5evIh58+YhISEBWlpa7HJhlTl48CDmzJnDVaaszM2bN2Fvb48vX75AQUGBvb2yFd6srKzw+PFjhIaGwt7enr09KysLEydOREhICKSlpTFlyhQkJiYiJyeHvShHTEwMxo0bh+fPn+Pbt294//49dHV1ERsbi8WLFyMsLAw/fvyAjo4OnJycsHXr1mpzPHkdI6C01NnChQvx/PlzKCkpYdy4cfDx8WGPLn///h2LFi1CYGAg/v33X1haWsLPzw8dO3as9LjwOpZ1XQnvfyerz29lwky/5rmudZGdy2yd8+p8+1G7qxu1NaBr5WXk+IJpHl41Yj/nVH8nhj5n5Ao0fuS7LwKNP2ugWfV3YiCXx1UZfiqbeCYo4j8E+/zmigi2SoCiLH+qgFSm9QLBfkYDwLpnK6u/EwPWZ88LNL6WZvX1bfll4Cr+LrpVlXPePaq/0y+owXR+qV8X7fxWjXZ+q0Y7v9Wjnd+q0c5v1Wjnt3r12fntv7L+Or9Bq3/Pzm+DqvZAURRFURRFUYLUqDq/bdq04SgTVv7n2LFjwm4eI4mJiZU+NllZ2WrLqFEURVEU1fg19hXeGoMGPeGtosuXL3Os1FZeYyhfUhVNTc0qc2n5McOZoiiKoijqd9eoOr86Otzlg34VTZo04UuJNoqiKIqiGq/feUS2vjSqtAeKoiiKoiiKYoJ2fimKoiiKoqjfRqNKe6AoiqIoivqVlZQIuwW/PjryS1EURVEURf026MgvRVEURVFUA0EnvAke7fxSAufYsYVA4zdTkhVo/G8/eJfX4xdxMcG+DYtYgl096998wa6Apybg5xcAFOWkBBpfrIlgL7KJCniVvaYygl1h7HuhYFc5FPQKbFL52QKNXyQt2FKeRycLvpKSttp5gcYPHzRAoPGHPbgr0PhU/aKdX4qiKIqiqAaCjvwKHs35pSiKoiiKon4bdOSXoiiKoiiqgaAjv4JHR34piqIoiqKo3wYd+aUoiqIoimogiunIr8DRkV+KoiiKoijqt0FHfimKoiiKohoImvMreHTkl6IoiqIoivpt/HadXzs7O8yZM0fYzWA7ePAgFBQUhN0MiqIoiqIagBJSfz+/qwbd+WWxWDh//nyN719cXIz169ejVatWkJKSgpKSEjp37owDBw4IrpEURVEURVFUo9Fgc34LCgpq/T9eXl7Yu3cvdu3aBUtLS3z9+hVPnjzBly9fBNDCn4qLi8FisSAiUr/nEoWFhRATE6vXffLLp08fsXXLeuR8zYGsjCzmzV+CFjq6XPdLTUnGVt8NiI+Pg6aWFnbs3FvjfSQmJsLL2wvZ2dmQlZOF10ov6Ovr87zv+aDzOHT4EEpKSmDV0QqLFy1GkyZVvz2SkpKwbt1qZGfnQE5OFkuXroCenh7X/ZKTk7Fu3RrExsageXNt+PvX7GQsMTERq9d4seOvWLEK+nrc7f/8+TPWrPHG25i30NZugUMHD9co/ofERKxYtRLZ2dmQk5PDai9vGFRyfM6dP4/9Bw+AlBBYWXXEH0uWCv34JCUlYo3PauTkZENWVg7Ll62AHo/jk5z8GT5r1yAm5i20m2tj//5DNYr/8WMS1q9fg5ycHMjKymLJkuXQ1eXd/g0bfBAXFwMtLW3s3bu/RvFTUz7jwB4/5OZ+hbS0DMZPmQNNLe6lwONj3+DYwf8BAIqLi2BoZIIRY6dW+97/8OED/lj58/ld6+0NAwMDrvudOXcOAQcOoIQQdLaywvKl1T+39REfaNzv4cRPn+C12RfZX79CVkYGXgvmQV+Hcxnhx5GR2LX/IPK/5YPFEkH3Lp0xY/w4sGq4XLWg38MpyZ+w739b8e+/OZCWkcXk6fOg1Zz7Nfo6KhKnAg/i+/dvYLFEYGHZGYOHu1X7OD5+TMKGDT74mpMDGVlZLF68jOd7LCUlGRs3rP3vPdYcf+2p/j1mPs8Tmt1sIKOhgaujxuLru/c876fXzwWt3MaAxRJB6pOneLbZF6RYsMttV+d3HpGtLw1m5NfOzg6zZs3CvHnzoKKigpYtWwIABg4cCBaLBV1d3WpjXLx4ETNmzMDQoUOhp6eHdu3awd3dHfPmzeO4X0lJCRYtWgQlJSWoq6vDy8uL4/atW7fC1NQUMjIy0NbWxowZM5Cbm8u+vSxV4dKlSzAxMYGEhAQ+fPiAgoICLFq0CFpaWpCRkUGnTp1w8+ZNjtgHDx5EixYtIC0tjYEDByIzM7PGx8jLywvt27fH/v37oa+vDwkJCRBCkJiYiP79+0NWVhby8vIYNmwYUlNTOf539+7dMDAwgLi4OIyNjXHkyBGO21ksFvbs2YO+fftCWloarVu3xv379xEXFwc7OzvIyMigS5cuiI+Pr3F7q7Jzhy+c+vSFf8BRDBk6Atv8NvG8n7SMDNzGuWPR4uW13se69eswcOBAnD1zFm5j3bDGZw3P+3369Al/7fkL/nv9cf7seWRkZiDoQlC18bds2Yh+/QYgMPAkRo4cg40b1/G8n4yMNCZPnoqVK71r1f4NG9djQP+BOH3qDMaMccPatT6VxJfB1KnTsXo179sr47PWB4MHDsKFc+cx3m0cvFfzbt+nT5/wv93/w8GA/bgYFITMzEycDzpfbXxBH5+Nmzagv+sA/H3iNEaPHoN169dWEl8GUyZPhZfX6lrF9/XdiL59++Po0b8xYsRobNpUWftl4O4+BcuXe9Uq/tH9f8LW3hE+m/fA0WUwDvvv4Hm/5i108Yf3VqxcuwOr1u1C7r9fcTv0SrXxvdeuxdDBg/FPUBAmjhuHld7cx/fjp0/Y9b//4fCBA7hy4QIyMjJwtoZX2wQdH2jc7+F123dioHMfnN3vD7dhQ7DGbxvXfeRkZbF26WKc2rcXR3btwLOXLxEcdrPG+xD0e/ig/07Y9XDCpm3+cOk3BAF7uB8DAMjIyGH67MVY77sHXuu24030SzwIr/5xbN26CX37uuLwkRMYMWI0tmxez/N+0tIymOg+GcuWeVUbs0xS6E2ETpmBvOTkSu8jo6GBtlMmI3TqDFweMhySykrQ69e3xvugGq8G0/kFgEOHDqFJkyYIDw/H0aNHAQAHDhxAcnIyHj9+XO3/q6urIzQ0FOnp6dXuR0ZGBg8fPsSmTZuwevVqXL9+nX27iIgIduzYgaioKBw6dAihoaFYtGgRR4z8/HysX78e/v7+ePXqFZo1a4YJEyYgPDwcJ06cwIsXLzB06FA4OTkhNjYWAPDw4UNMnDgRM2bMQGRkJOzt7eHjU7sOS1xcHE6ePIkzZ84gMjISADBgwABkZWXh1q1buH79OuLj4zF8+HD2/5w7dw6enp6YP38+oqKiMHXqVEyYMAFhYWEcsdesWQM3NzdERkaiVatWGDVqFKZOnYqlS5fiyZMnAIBZs2bVqr28ZGd/QXxcDBx69AIAWNt0R2pqMlJTuD+k5OTk0aatGSQlJWu1j6ysLLx5+wZ9nPoAAHo49MDnz5/x+fNnrvuGhIbA3s4eysrKYLFYGDxoMIKvBVcZ/8uXLMTEvEXv3o4AADs7eyQnf0Yyjw9aefmmMDNrBykpqVq1/+3bN3D6r/0O9g74/PkTz/Y3bdoU7du3h5Rk7eJHv3kDF2dnAEDPHj3w6fNnfOIR/3rIDdjb/zw+QwYPwZVgIR+f/+I7OjoBAOztHP6Lz91+efmmaNeudsentP0x6NWrtP3du9sjOTm5kvbLw8ysHSRrEf9rTjYSP8Sjk7U9AMCiY1dkpKciIz2V674SEpLsEbrioiIUFPwAq5qrTJlZWYiOjkbf/57fXj174iOP5/fajRvo4eAAlf+e22FDhuDy1avVtl/Q8YHG/R7Oys7Gm7g49OnhUNp2Gxt8TknF5xTO57eVoSGaa2gAACTExWGkb4CPKSk124eA38Nfc7Lx4X08unYrfQyWnayRkZaK9DTu16iOngGaqZU+DnFxcbTQ0UdaWtWP48uXL4gt9x6ztbVDcnIyUnh8D8jLy8PUtB0kpWr+PZAR+RzfqukLNHeww6dbt/Ejq/TqcPzZ82jRu2eN9yEoxaT+fn5XDarza2hoiE2bNsHY2BjdunUDACgoKEBdXR2qqqrV/v/WrVuRnp4OdXV1mJmZYdq0abhyhXuExMzMDKtWrULLli3h5uYGS0tLhISEsG+fM2cO7O3toaenBwcHB6xZswYnT57kiFFYWIj//e9/6Nq1K4yNjZGSkoLAwECcOnUK3bp1g4GBARYsWAAbGxt2zvH27dvh6OiIJUuWwMjICLNnz4ajo2OtjlFBQQGOHDkCc3NzmJmZ4caNG3jx4gWOHz+ODh06oFOnTjhy5Ahu3brFPmHYsmULxo8fjxkzZsDIyAjz5s3DoEGDsGXLFo7YEyZMwLBhw2BkZITFixcjISEBo0ePhqOjI1q3bg1PT0+ukeyKfvz4ga9fv3L8/Pjxg+M+6elpUFJWgaho6Rc6i8WCqqoa0tLTanUsqpKamgpVVVV2p4HFYkFNXQ0pPL5YUlJSoK6uzv5bU0MTqSncH/DlpaWlQVlZhTO+mhpSU2v2xVVt+9NSoaLC2X51dXW+xU9JTUEzVe74vL54UlJSoPHfFzQAaGpq8jyO5Qn6+KSlpkJFpWJ8daSkVv281Th+WhqP+GrVfqHX1JesDCgoKEFUVJQdX0lZFVmZvL+sM9JTsXrZbMybMRpSUtKwta/6cyMlJYXr9a+hrs7VsUtJToZmuedWqwbPbX3EBxr3ezg1PR2qykpoUu75VVNVRUoVn3EZWVkIvXsXNh071mgfgn4PZ2amQ0GxwmtURRWZmVV/TmdnZ+HJw3C0M6/6caSnlb6Hy38PNFNT47pqKUjS6mrIK3cc8pNTIK2mVm/7p4SnQXV+LS0tGf2/iYkJoqKi8ODBA0yYMAGpqano168fJk2axHE/MzMzjr81NDSQlvbzDR0WFoZevXpBS0sLcnJycHNzQ2ZmJvLy8tj3ERcX54jz7NkzEEJgZGQEWVlZ9s+tW7fYqQLR0dHo0qULx74r/l0dHR0djhOB6OhoaGtrQ1tbm+M4KCgoIDo6mn0fa2trjjjW1tbs23kdF7X/PgBMTU05tn3//h1fv36ttH3r169H06ZNOX7+2r2T634scOaCEcL/U9CK+0AVuyifm1bTtlTMZ+P3Q6iYLsf3Y8TV/srjN8jjI+DXEHf7+f4AahxfRVUNK9fuwOZdh1FYWIhnj+9XH76m7S//3FYbtf7iA437PczV9ioan5uXh3mrvDB26BC0amlYi50I9j3M40Ooyrt/y8/Htk3ecHYdDF29WjyOGsYXiPL7rGGuNdX4NagJbzIyMoxjiIiIoGPHjujYsSPmzp2Lo0ePYuzYsVi2bBl7IkPFiSIsFgslJSUASidxODs7Y9q0aVizZg2UlJRw9+5duLu7o7CwkP0/UlJSHB8mJSUlEBUVxdOnT9lnymVkZWUB8OfLs+IxIoTwnFRQcTuvL6qK28ofl7LbeG0rO1a8LF26lCvH+uPnLITcCMa5s6Wj593teiAjIx3FxUUQFW0CQggyMtLQTLVZpXFr4tI/l3D8+HEAQO/evZGaloqioiI0aVK6j9TUVI7RoTLqFUasklOSoabOffZ/9epl/P33CQBAz569kJ6exhE/LS0Vamrc8Wvq8uV/cDzwWGn7ezkiLS2Nq/1M4l+8dAlHjpWmE/VxdEJaKnd8dXUNrv9TV1fnuNScnJzM8zgK+vhcuXIZJ06UPr89e/VGGo/46gxGbYKDr+DkydL29+jRk0f709CsWd3bf/9uKK5fOQ8AsOpiiy9ZmSguLoaoqCgIIfiSlQEl5aqvcElKSqFjZ1s8uncTVl1sK72furo6Uiu8flJSUzlG/wBAXUOD47n9/Pkzz+e2vuI39vdwGTVVVaRmZKCouBhN/nt+U9MzoM7jMy4vPx+zl62AbefOGDN4UJVxBf0evns7BMH/nAMAdO7aHV8yMzheo1mZGVBW5v05/e1bPrasXwHzDp3g5ML7cVwLvoJTp0qPv0OPXlzfA2lpaeyBl/qQn5IKmXKvWWl1NeTX48hzZeiEN8FrUJ3fisTExFDMcNaliYkJAHCM2lblyZMnKCoqgq+vL7t6Q8WUB17Mzc1RXFyMtLQ0dsoGr7Y8ePCAY1vFv2vLxMQEiYmJSEpKYo/+vn79Gjk5OWjdujUAoHXr1rh79y7c3NzY/3fv3j327fwkISEBCQkJzm2ZeejR0xE9ev68VPvk8UOEhlxHr959EH73FpqpqUONx4d2bfR16Yu+Lj8nK9y7fw9Xrl5Bv779EBIaAg1NDWhqanL9n4ODAyZNnoRJ7pOgpKSEM2fPoHev3lz3c3JyhpOTM/vvBw/u49q1YDg7u+DmzTCoq2twffnXhrOzC5ydXdh/379/D1evXkHfvv0QGhYKDQ1Nnu2vqX59+6Jf35/H5+69cPxz+TL6u7riRkgINDU0oMUjfk+HHpjgPhFTJ0+BkpISTp85Dafe3JfdBX18+vRxRp8+nPGDg6/CxaUvwm6GQkNdAxoadT8+jo594OjYh/33w4cPcP16MPr0ccGtW8zb38XGAV1sHNh/Rz1/iofhYehq2xPPHt+DsooaVFS5v/jTUpOhpFx6ebuoqBART+5Bq4VulftSVlJCK2NjXLp8GQNcXXH9xg1oaWpyPb+9evSA24QJmDZlCpSVlHDy9Gn0qUEqlqDiN/b3cBklBQUYGxrgSkgo+vXuhZC7d6Gh1gyaFTrk+d++wWPZCnS27IBJo0dVG1fQ72Eb2x6wse3B/vtF5BPcuxOKbna98ORhOFRUm0G1Gfdr9Pv3b9iyfgXatrNA/8GVP47ejn3Qu9x77NF/7zEnJxfcvn0T6urqPDvvgvIx7BYc9vwPr/YfwI+sLzAYNABJ12/U2/4p4WERQVxvrgM7Ozu0b98e27ZtY28zMjJCz549sXLlSkhISEBRUbHKGEOGDIG1tTW6du0KdXV1vH//HkuXLkVWVhZevXqFJk2a8NzPgAEDoKCggIMHDyIyMhLm5ubYtm0b+vXrh/DwcCxduhSfPn3Cly9f2PebM2cOsrOzOfY/ZswYhIeHw9fXF+bm5sjIyEBoaChMTU3h7OyMBw8eoGvXrtiwYQMGDBiAa9euYcWKFSCEcMXixcvLC+fPn2dPdANKR3A7dOgAWVlZbNu2DUVFRZgxYwZkZWXZ+bnnz5/HsGHDsGPHDvTo0QMXL17EokWLcOPGDdjZ2QEoHdU9d+4cBgwYAABISEiAnp4eIiIi0L59ewDAzZs3YW9vzz4ONRX/njsH7WNSIrb6bsDXf79CWloa8+cvhc5/JW62+W1C587W6NzFGoUFBZg4cRQKCwuRn5eHpgoKcHDojQkTp7BjNVOS5bnfhA8J8Pb2Rk5ODmRkZOC1yotdimmNzxrY2tqiu213AMC58+dw6PAhkBICS0tLLC1XBujbj0Ke8RMTP2DdOh92/GXlSm1t2LAONjbdYGPTDQUFBRgxYggKCgqRl5cLRUVF9O7thGnTZgAAxMV4n4N++JCA1WtWs+OvWrkK+vql7V+71gfdunWDrW13FBQUYNDggSgsLEBubi4UFZXQp08fzJxROjlRQkyUZ/yEhASs9FqF7JwcyMrIYLX3ahj+d3y8V69G9+7dYde99PicOXsWBw8dRAkhsLLsiD+WLmVfFfg3/wfP+Pw6PqKVTO768OEDfNauxtevOZCRlsHy5avYZbDWr18LG5tu6NbNFgUFBRg6bBAKCwv/Oz6KcHLsg+nTZ7JjFRRyn2QnJn4oLcP0tbQU2dKly9nt37RpPaytbWBtXdr+UaOGorCwtP0KCqXtnzJlOjtWTBJ3VZeU5I84uHcbcnP/hZSUNCZMmQPN5qWlsA7774CZRSe0t+iEuzev4cbVIIiIiKC4pBitTNphyIgJEBMXZ8fq2rY5V/z3CQlYvnIlsv87/uvWrIGhgQFWenvDvnt32P/33j999iwCDh4EKSmBVceOWPHHHzUqocjP+N95HH+g8byHpfKzudue9BHevr7I+fovZKSl4bVgPgx0dbDGbxtsO3dG9y6dEXA8EHuPHoNBuRJoPbrZwH3USI5YTVR4j4by6z38PJZ3/m/y54/Yt3srcv/9CilpaUyePh/NtUvbGrBnG8w7dIaFZWdcOHcC508fg1bzn4+jY2cbuA4cwf5bW60pz+O/aePa/95j0li85Od7bMvm9ejS9ed7bMzoYRzvsV69HTF58s/3WPigARyxLRbMg6atDSSVlPAjJwdF+d9wZegIWP6xGJ/v3MXnO+EAAP3+/WA8ZjRYIiJIe/oUTzdu4VnqbNiDuzyPkSBYzAmp/k588mxbj+rv9Atq0J3fixcvYt68eUhISICWlhYSEhKqjLFv3z4EBgYiKioKOTk5UFdXh4ODA7y8vKDz34dLdZ1fAPDz88PmzZuRnZ0NW1tbjB49Gm5ubtV2fgsLC+Hj44PDhw/j06dPUFZWRpcuXeDt7c3Ond2/fz9WrVqFzMxM9OzZE927d8eaNWvq3PkFSmthenh4ICQkBCIiInBycsLOnTs5Lh/t3r0bW7ZsQVJSEvT09LB8+XKMHTuWfXt9d375qbLOL79U9sXJL5V1fvmlss4vv1TW+eWXyjq//MSr88tPvDq//MSr89uYVNb55RdBv4d5dX75qbLOL79U1vnlJ16dX36q2PnlN9r5/bU0mM4v9euind+q0c5v1Wjnt3q081s12vmtGu38Vq8+O7/tPeuv8xu5/ffs/Daoag8URVEURVEUJUiNqvPbpk0bjjJi5X+OHTsm7OYx9qs/PoqiKIqiqkYXuRC8Bl3toaLLly9zlBsrrz7LowjKr/74KIqiKIqihK1RdX51ys2I/RX96o+PoiiKoqiq/c4jsvWlUaU9UBRFURRFURQTjWrkl6IoiqIo6ldWXEKXWRY0OvJLURRFURRF/TboyC9FURRFUVQDQXN+BY+O/FIURVEURVG/D0JRDcj379/JqlWryPfv32l8Gr/Bxa+PfdD4NP7vHL8+9lEfj4Fq2OjyxlSD8vXrVzRt2hQ5OTmQl5en8Wn8BhW/PvZB49P4v3P8+thHfTwGqmGjaQ8URVEURVHUb4N2fimKoiiKoqjfBu38UhRFURRFUb8N2vmlGhQJCQmsWrUKEhISND6N3+Di18c+aHwa/3eOXx/7qI/HQDVsdMIbRVEURVEU9dugI78URVEURVHUb4N2fimKoiiKoqjfBu38UhRFURRFUb8N2vmlKIqiKIqifhu080tRFEVRFEX9Nmjnl6IoiqIEiBCCDx8+4Nu3b8JuCkVRoKXOqAbg6tWrkJWVhY2NDQDgzz//xL59+2BiYoI///wTioqKfN1fcXExXr58CR0dHb7Hpng7ffo0Tp48icTERBQUFHDc9uzZs1rHmzdvXo3vu3Xr1lrHF5aCggK8f/8eBgYGaNKkibCbU2P6+vp4/PgxlJWVObZnZ2fDwsIC7969E1LLaicuLg7x8fGwtbWFlJQUCCFgsViM45aUlEBSUhKvXr1Cy5Yt+dBS3rKzs3H69GnEx8dj4cKFUFJSwrNnz6CmpgYtLS1GsSdOnIjt27dDTk6OY3teXh48PDywf/9+RvHrU25uLkpKSji2ycvLC6k1lDDQzi8ldKampti4cSOcnZ3x8uVLdOzYEfPmzUNoaChat26NAwcOMIo/Z84cmJqawt3dHcXFxejevTvu3bsHaWlpXLp0CXZ2doziP3v2DGJiYjA1NQUABAUF4cCBAzAxMYGXlxfExcUbXPwdO3bU+L6zZ8+udfyK+1q2bBnGjRuHffv2YcKECYiPj8fjx48xc+ZMrF27ttYx7e3ta3Q/FouF0NDQWsfn5ciRI/jrr7/w/v173L9/Hzo6Oti2bRv09PTQv39/RrHz8/Ph4eGBQ4cOAQBiYmKgr6+P2bNnQ1NTE0uWLKl1zPp8jkVERJCSkoJmzZpxbE9NTUWLFi3w48cPRvHLpKWlIS0tjavjYmZmxihuZmYmhg8fjtDQULBYLMTGxkJfXx/u7u5QUFCAr68vo/gA0KZNGwQEBKBz586MY/Hy4sUL9OzZE02bNkVCQgLevn0LfX19rFixAh8+fMDhw4cZxRcVFUVycjLXc5yRkQF1dXUUFRUxiv/9+3fs3LkTYWFhPJ/jupwkl/f+/XvMmjULN2/exPfv39nby05wiouLGcWnGhlCUUImIyND3r9/TwghZNWqVWTw4MGEEEKePn1K1NTUGMfX0tIijx8/JoQQcu7cOaKpqUnevn1Lli1bRrp27co4vqWlJTl9+jQhhJD4+HgiKSlJRo4cSQwNDYmnp2eDjK+rq1ujHz09PcbtNzY2JsePHyeEECIrK0vi4+MJIYSsWLGCzJw5k3H8+vC///2PqKioEB8fHyIlJcV+DAcOHCB2dnaM48+ePZt06NCB3Llzh8jIyLDjBwUFkfbt29cpZsXnUkZGhrBYLKKoqEgUFRUJi8UiMjIyjJ7joKAgEhQURFgsFjl8+DD776CgIHL27Fkyc+ZMYmRkVOf4ZZ48eULatGlDRERECIvFIiwWi/27iIgI4/hjx44ljo6OJCkpieM1GhwcTExMTBjHJ4SQS5cuERsbG/Ly5Uu+xKuoR48eZOHChYQQzvdZeHg40dHRqXPcnJwckp2dTVgsFomLiyM5OTnsn6ysLHLo0CGioaHBuP0jR44kKioqZNq0aWTVqlXEy8uL44epLl26kC5dupATJ06QsLAwcvPmTY4f6vdCO7+U0CkqKpJXr14RQgixtrYme/bsIYQQ8v79eyIlJcU4voSEBElKSiKEEDJ58mR2h/Hdu3dETk6OcXx5eXkSFxdHCCFkw4YNpHfv3oQQQu7evUuaN2/e4OMLmpSUFElISCCEEKKqqkoiIyMJIYTExMQQJSUlYTatxlq3bk3OnTtHCOHsWLx8+ZIoKyszjt+iRQty//59rvixsbF8eY0eO3aMWFtbkzdv3rC3vXnzhnTr1o0cPXq0znErdkTL/4iLixMjIyNy8eJFxu03NTUlAwcOJA8ePCDv378nCQkJHD9MqampsV+X5Y//u3fviIyMDOP4hBCioKBAxMXFiYiICJGUlGSfhJT9MFX+c6L8Y0hISCASEhJ1jlv2/Fb2IyoqSnx8fPjS/rt37zKOUxkZGRmO1z/1e2s8SWXUL8vGxgbz5s2DtbU1Hj16hL///htA6aXf5s2bM46vpqaG169fQ0NDA1evXsX//vc/AKWXmkVFRRnHJ4SwL9HduHEDffv2BQBoa2sjIyOjwcevuC8AfMlzLKOuro7MzEzo6OhAR0cHDx48QLt27fD+/Xv2/ph6/PgxTp06xTOn+OzZs4zjv3//Hubm5lzbJSQkkJeXxzh+eno61+VkoDSfkh/PxYoVK3D69GkYGxuztxkbG8PPzw9DhgzB6NGj6xS37HWpp6eHx48fQ0VFhXFbeXn//j3Onj0LQ0NDgcTPy8uDtLQ01/aMjAxISEjwZR/btm3jS5zKSEpK4uvXr1zb3759C1VV1TrHDQsLAyEEDg4OOHPmDJSUlNi3iYuLQ0dHB5qamnWOX0ZLS4srn5ifOnbsiKSkJI73APUbE2rXm6IIIR8+fCAuLi7EzMyM+Pv7s7fPmTOHeHh4MI6/atUq0rRpU9KqVSvSokUL8v37d0IIIQEBAaRz586M49vb2xM3Nzdy+PBhIiYmRmJjYwkhhNy8eZPR5cb6ik8IIYcOHSJt27YlEhISREJCgpiampLDhw/zJba7uzv7suXu3buJlJQU6dmzJ1FQUCATJ05kHD8wMJCIiYkRFxcXIi4uTvr27UuMjY1J06ZNyfjx4xnHJ6R05Pf8+fOEEM5Rte3btxMLCwvG8W1tbcmOHTvY8d+9e0cIIWTmzJnE0dGRcXwpKSny8OFDru0PHz7ky9UVQevfvz879UcQnJ2dyfLlywkhP49/cXExGTp0KDsNq6GbPHkyGTBgACkoKGA/hg8fPhBzc3O+pF8lJCSQ4uJi5g2txOXLl4mTkxNfRvJ5iYuLIz179iQHDx4kT548Ic+fP+f4oX4vtPNL/RZOnTpFtm7dyk5/IISQgwcPsjs0TDx//py0bduWyMvLc+SmzZo1i4wcObLBx/f19SXS0tJk0aJFJCgoiJw/f54sXLiQSEtLk61btzKOX1xcTAoLC9l///3338TDw4Ns376d/Pjxg3F8U1NTsmvXLkLIz45pSUkJmTx5Mlm5ciXj+IQQsn//fqKlpUVOnDhBZGRkSGBgIPHx8WH/zlR4eDiRk5Mj06ZNI5KSksTT05P07NmTyMjIkCdPnjCO37dvX2JmZkYeP35MSkpKCCGEPH78mLRv357069ePcXxCCLlx4wZZunQpcXd3JxMmTOD4YSo9PZ04OzsTLy8vcvr0aY7c4qCgIMbxX716RVRVVYmTkxMRFxcnQ4YMIa1btyZqamrsVAJ+iIuLI8uWLSMjRowgqamphBBCrly5QqKiohjHzsnJIdbW1kRBQYGIiooSbW1tIiYmRmxtbUlubi7j+IQQkpWVRTZv3kwmTpxI3N3dyZYtW0hmZiZfYqelpRE7OzsiIiJCZGVl+Z4Wcv/+faKnp8eRmsPPvHGqcaHVHqgGIT4+HgcOHEB8fDy2b9+OZs2a4erVq9DW1kabNm2E3bw6+f79O0RFRSEmJtag4+vp6cHb2xtubm4c2w8dOgQvLy+8f/+eUXxBk5GRwatXr6CrqwsVFRWEhYXB1NQU0dHRcHBwQHJyMl/2s2/fPvj4+CApKQlA6WVaLy8vuLu78yX+y5cvsWXLFjx9+hQlJSWwsLDA4sWL2VU+mEhPT8e4ceNw9epV9uulsLAQTk5OOHDgANTU1BjF9/b2xurVq2FpaQkNDQ2uVI1z584xin/hwgWMHTsW//77L9dt/Jqpn5KSgt27d3Mc/5kzZ0JDQ4NxbAC4desW+vTpA2tra9y+fRvR0dHQ19fHpk2b8OjRI5w+fZov+wkNDcWzZ8/Yj6Fnz558iXvr1i24urqiadOmsLS0BAA8ffoU2dnZuHDhArp3784ofs+ePZGYmAh3d3eoqalxvYbGjRvHKL6JiQlat26NRYsW8Yyvo6PDKD7VuNDOLyV09fGl8OjRI9y8eZNnCR1+1oFtjPUjJSUlERUVxZVPGRsbC1NTU46yQHWVnZ2NgIAAREdHg8ViwcTEBBMnTkTTpk0Zx9bW1sbly5dhamqKdu3aYcmSJRg5ciTu378PJycn5OTkMN5HeRkZGSgpKeGZo9vQxcbGIjo6GoQQtG7dGkZGRnyJq6GhgU2bNmHs2LF8iVeRrq4u+vbtixUrVjDuqAtLly5dMHToUMybNw9ycnJ4/vw5uz7ygAED8OnTJ77vMzs7GwoKCnyJ1bZtW3Tt2hW7d+9mz5UoLi7GjBkzEB4ejqioKEbxpaWlcf/+fbRr144fzeUiIyOD58+fCyxvnGpc6IQ3SuiWLFkCHx8f9pdCGXt7e2zfvp1x/HXr1mH58uUwNjbmOuPnx2QiQdSPVFRUrHHbsrKyah2/PENDQ5w8eRJ//PEHx/a///6bLwX5nzx5AkdHR0hJScHKygqEEGzduhVr167FtWvXYGFhwSh+t27dcP36dZiammLYsGHw9PREaGgorl+/jh49ejBuP1D6HBcVFaFly5Yck7piY2MhJiYGXV1dRvEvX74MUVFRODo6cmwPDg5GSUkJ+vTpU+uY8+bNw5o1ayAjI8NzUZBbt26xf2d6AlhQUICuXbsyilGVzMxMzJ07V2Ad3/pYaOfly5c4fvw413ZVVVVkZmYyjr9x40bo6upi+PDhAIBhw4bhzJkzUFdXx+XLlxl3KuPj43HmzBmOScKioqKYN28e4xrCANCqVSuBroDn4OBAO78UG+38UkIn6C+F7du3Y//+/Rg/fjzjWLyUzZTfv38/z8tpdVF+ZnhmZiZ8fHzg6OiILl26AADu37+P4OBgrFixgvG+vL29MXz4cNy+fRvW1tZgsVi4e/cuQkJCcPLkScbx586dC1dXV+zbt4+9allRUREmTZqEOXPm4Pbt24zi79q1i33SsXTpUoiJieHu3bsYNGgQX44PAIwfPx4TJ07kOhl4+PAh/P39cfPmTUbxlyxZgg0bNnBtJ4RgyZIlder8RkREoLCwkP17Zfjxep00aRKOHz/Ot+Nd0aBBgxAWFgYDAwOBxF+4cCE2btwIoPTzaN68eZg/fz5CQ0Mxb948xgvtAICCggKSk5Ohp6fHsT0iIoLx6msAsGfPHhw9ehQAcP36dVy/fh1XrlzByZMnsXDhQly7do1RfAsLC0RHR3NVS4iOjkb79u0ZxQaADRs2YP78+Vi7di1MTU250rmYXkHr168f5s6di5cvX/KM7+rqyig+1bjQtAdK6Jo3b46TJ0+ia9euHJcDz507hwULFiA+Pp5RfA0NDdy+fVtgy4rKysri6dOnAiuhM3jwYNjb22PWrFkc23ft2oUbN27g/PnzjPfx9OlT+Pn5sS+Jm5iYYP78+TzLe9WWlJQUIiIi0KpVK47tr1+/hqWlJfLz8xnvQ9Dk5eXx7NkzrlGjuLg4WFpaIjs7m1F8KSkpREdHc40gJyQkoE2bNnwppyZInp6eOHz4MMzMzGBmZsbVsWA6srx27Vps27YNLi4uPDsuTFeok5WVRVRUFHR1deHl5YWoqCicPn0az549g7OzM1JSUhjFB4BFixbh/v37OHXqFIyMjPDs2TOkpqbCzc0Nbm5uWLVqFaP4UlJSiImJgba2Njw9PfH9+3fs2bMHMTEx6NSpE758+cIo/t9//41FixbBw8ODvUrdgwcP8Oeff2LDhg1o3bo1+751WXFPREQEAPfJGJMraLzi80JXePv90JFfSuhGjRqFxYsX49SpU2CxWCgpKUF4eDgWLFjANQmrLubOnYs///xTYHU2BV0/Mjg4mD0qVZ6jo2Odlr3lpUOHDuxRI36Tl5dHYmIiV+c3KSmJL3U9K1t2NTMzE82aNePLlxqLxeI52SonJ4cv8Zs2bYp3795xdX7j4uIgIyPDOL6gvXjxgj36VzH3kx8jy/7+/pCVlcWtW7c40jXK4jPt/IqLi7NPwm7cuMH+3FFSUuJZO7cu1q5di/Hjx0NLS4t9gllcXIxRo0Zh+fLljOMrKioiKSkJ2trauHr1Knx8fACUdh758RodOXIkgNJOPK/bWCwWo45qWFgY4zZWpeJcDOr3Rju/lNAJ+kthwYIFcHFxgYGBAUxMTLhGjZguguDv749p06bh06dPaNu2LVf8uoyClKesrIxz585h4cKFHNvPnz8PZWVlRrHLFBcX4/z58xwT0lxdXfmyCMjw4cPh7u6OLVu2oGvXruy0ioULF7K/UJmo7OLVjx8/IC4uzjg+UJpXvH79egQGBnJM9lm/fj07T5QJV1dXzJkzB+fOnWNf2o+Li8P8+fMbxeVYQXdcBF1xRNAL7QCAmJgYjh07htWrVyMiIgIlJSUwNzfn2xWpQYMGYdSoUWjZsiUyMzPZqTKRkZF8yXMV9HPAtFoERdUG7fxSQlf2pbBmzRp2iR5+fil4eHggLCwM9vb2UFZW5uvqZUBpGan4+HhMmDCBvY3pKEh53t7ecHd3x82bN9k5vw8ePMDVq1fh7+/PKDZQ2slycXHBx48fYWxsDEII+/LpP//8wzjPcsuWLWCxWHBzc0NRURGA0ud8+vTpPPNca2rHjh0ASo912chgmeLiYty+fZtrtLmuNm3aBFtbWxgbG6Nbt24AgDt37uDr168IDQ1lHH/z5s1wcnJCq1at2J2tjx8/olu3btiyZQvj+PUlLi4O8fHxsLW1hZSUFPs90NDt2rULM2bMwOnTp7F79252Du6VK1fg5OTE130ZGBgIJHfZz88Purq6SEpKwqZNm9jvh+TkZMyYMYNx/PooBSbIqjBA6STPLVu2sOO3bt0aCxcuZL+nqd8HzfmlhG716tVYsGAB1/Ki3759w+bNm7Fy5UpG8eXk5HDixAm4uLgwilOZ+qgf+fDhQ+zYsYMjJ3f27Nno1KkT49jOzs4ghODYsWPspUszMzMxZswYiIiI4J9//mG8D6B0Oen4+HgQQmBoaMhzOdnaKJs49OHDBzRv3pxjlFpcXBy6urpYvXo1X44RAHz+/Bm7du3C8+fPISUlBTMzM8yaNYtjuVcmCCG4fv06R3xbW1u+xBa0zMxMDBs2DGFhYWCxWIiNjYW+vj7c3d2hoKAAX19fRvEnTpxY5e379+9nFL8+FBcX4+DBgwgJCeFZcpEfJ1H14fXr1zyXEWd6hYJXVZgnT57g27dvfKkKc/ToUUyYMAGDBg2CtbU1CCG4d+8ezp07h4MHD2LUqFGM4lONC+38UkIn6JxNHR0dBAcH820UsKLGXj9SRkYGDx484FpM4fnz57C2tkZubi7f9pWUlAQWi8W3S8lAaUm8s2fP8qUcFVU3bm5uSEtLg7+/P1q3bs2etHrt2jXMnTsXr169YhR/4MCBHH8XFhYiKioK2dnZcHBwYJy6lJiYWOXtLVq0YBQfAGbNmoWDBw/CxcWF50Igfn5+jOJXV26M6fyJd+/eYeDAgXj58iX7yhbwM6eb6ed0t27dYGhoyLMqzLt37xhXhWndujWmTJmCuXPncmzfunUr9u3bh+joaEbxqcaFpj1QQlfZpdHnz5/zZVTNy8sLq1atwoEDBxiPNvJSH/Ujy1bAe/fuHbZt28bXFfAkJCR4TubKzc3lS85sUVERvL29sWPHDnZHWlZWFh4eHli1ahXjFeoq5psWFxfj5cuX0NHRYdQhfvHiBdq2bQsRERG8ePGiyvvWJa97x44dmDJlCiQlJdkpHJVhOqFL0K5du4bg4GCuk5qWLVviw4cPjOPzWiGupKQEM2bMgL6+PuP4urq6VaZn8GPC2IkTJ3Dy5Ek4OzszjsWLp6cnx9+FhYXIz8+HuLg4pKWlGXd+PT09oaenhxs3bkBfXx+PHj1CZmYm5s+fz5fUnCdPnnB0fAGgSZMmWLRoEXtFOSbevXuHfv36cW13dXXlqnFO/fpo55cSmrKFHFgsFoyMjDi+fIqLi5Gbm4tp06Yx3s+OHTsQHx8PNTU16OrqcnW2nj17xii+oOtHVlwBz8fHB82aNcOLFy/g7+/PeAW8vn37YsqUKQgICICVlRWA0jSLadOm8WWy1axZs3Du3Dls2rSJo06xl5cXMjIy8NdffzGKP2fOHJiamsLd3R3FxcWwtbXF/fv3IS0tjUuXLsHOzq5Ocdu3b4+UlBQ0a9YM7du35xjtKq+ued1+fn4YPXo0JCUlqxz140c1A0HLy8vjeWKZkZEBCQkJgexTREQEc+fOhZ2dHc8KBLVRsQ5yYWEhIiIi2Iux8IO4uLhAT5B5lTKLjY3F9OnTuSbL1sX9+/cRGhoKVVVViIiIQEREBDY2Nli/fj1mz55dZS3pmhB0VRhtbW2EhIRwPQchISHQ1tZmHJ9qXGjnlxKabdu2gRCCiRMnwtvbm2NSQ1nOZllniYkBAwYwjlGVsg766tWruW7jx4Q3Qa+At2PHDowbNw5dunRhd9wLCwvRv39/vsQPDAzEiRMnOBZqMDMzQ4sWLTBixAjGnd9Tp05hzJgxAICLFy8iISEBb968weHDh7Fs2TKEh4fXKe779++hqqrK/p3fyscU9Ex6QbO1tcXhw4exZs0aAGCXLNy8eTPs7e0Ftt/4+Hj2JEomeK1+ZmlpCU1NTWzevBmDBg1ivI/58+dj+/bt2LVrV71NAmzZsiU2bNiAMWPG4M2bN4xiFRcXsyfRqaio4PPnzzA2NoaOjg7evn3LuK2Crgozf/58zJ49G5GRkRzxDx48yJfPOapxoZ1fSmjGjRsHoHTiUteuXRlf/q4M0+Lx1RF0/UhBr4CnoKCAoKAgxMXF4fXr1wBKJ/Hxa5RKUlKS5/K/urq6fEmryMzMhLq6OoDSZYKHDh0KIyMjuLu7V5tOUJWyiYqFhYXw8vLCihUr+HKJvaLCwkIYGxvj0qVLMDEx4Xv8+rB582bY2dnhyZMnKCgowKJFi/Dq1StkZWXV+eSjvIrLMxNCkJycjH/++Yf9OSIIRkZGePz4cZ3/v2KnOTQ0FFeuXEGbNm34XnKxMqKiovj8+TPjOG3btsWLFy+gr6+PTp06YdOmTRAXF8fevXv58r4QVFWYMtOnT4e6ujp8fX3ZK1e2bt0af//9N/r37884PtW40M4vJXTl6zt++/aNvSRrGabLWpZ5+vQpRwkdfqxeVh8EvSwqAAQEBMDPzw+xsbEASkeM5syZg0mTJjGOPXPmTKxZswYHDhxgXwL/8eMH1q5dy7VqXV2oqanh9evX0NDQwNWrV/G///0PQGl1CX7UKRYTE8O5c+cEtnSvmJgYfvz40ShKglXGxMQEL168wO7duyEqKoq8vDwMGjQIM2fOhIaGBuP4FS+pi4iIQFVVFb6+vtVWgqiJigtZlHWuvby8GJVcrFiiq+LEPX66cOECx99lj2HXrl2wtrZmHH/58uXslQZ9fHzQt29fdOvWDcrKyuy6yEyIi4tj+/btWL9+PV+rwpQ3cOBAgT4HVCNCKErI8vLyyMyZM4mqqioRERHh+mEqNTWV2NvbExaLRRQVFYmCggJhsVjEwcGBpKWl8eEREHLz5k3St29fYmBgQAwNDUm/fv3I7du3+RJ74cKFxMbGhiQnJxM5OTkSGxtL7t69S/T19YmXlxfj+MuXLycyMjJkyZIlJCgoiAQFBZElS5YQWVlZsmzZsjrFHDhwIMePnJwcUVFRIT169CA9evQgKioqRF5engwcOJBx+1etWkWaNm1KWrVqRVq0aEG+f/9OCCEkICCAdO7cmXF8QggZP3488fX15UssXtavX0/GjRtHCgsLBbYPqnIsFovrc4fFYpEWLVqQe/fuCbt5NcJisTh+REREiJqaGhk5ciT5/PmzQPaZmZlJSkpK+B43KSmJfPz4ke9xCSHkyZMn5MiRI+To0aPk2bNnAtkH1fDRUmeU0M2cORNhYWFYvXo13Nzc8Oeff+LTp0/Ys2cPNmzYgNGjRzOKP3z4cMTHx+PIkSPs9edfv36NcePGwdDQEIGBgYziC7p+ZGFhIcaPH48TJ06AEIImTZqgqKgIo0ePxsGDBxmPbqqoqGDnzp1ceXWBgYHw8PBARkZGrWOWX/CjOgcOHKh1/IpOnz6NpKQkDB06lF1x4NChQ1BQUODLJc21a9diy5Yt6NGjBzp06MC15DDTCWkDBw5ESEgIZGVlYWpqyhVfUJfE+en79+948eIFzxq2DX2VuopLJpeNLBsaGnJUH2CirCSbgoICx/avX79iwIABDbbOr6amJvr37w9XV1f06NGDb6smVlRSUgIfHx/4+vqyq8LIyclh/vz5WLZsGURERBjFT0tLw4gRI3Dz5k0oKCiAEIKcnBzY29vjxIkT7Px+6vdAO7+U0LVo0QKHDx+GnZ0d5OXl8ezZMxgaGuLIkSMIDAzE5cuXGcVv2rQpbty4gY4dO3Jsf/ToEXr37o3s7GxG8eurfuS7d+/w5MkTsFgsmJub8y0nV1FREY8ePeK6vBsTEwMrKyvGx+dXUDHlpDwWi4V3794xil/dyQI/ThAE6erVq3Bzc+N5olTXSZ8WFhYICQmBoqIizM3Nq0wLYVqxpT6IiIiwq4eUl5aWBi0tLa50LyZIhRq8TNy8eRMXL17EhQsXkJqaCkdHR7i6usLFxYVvC7wAwNKlSxEQEABvb2/2IEJ4eDi8vLwwefJkxlU3BD0IQjUutPNLCZ2srCxevXoFHR0dNG/eHGfPnoWVlRXev38PU1NTxossyMnJ4c6dO2jfvj3H9oiICHTv3p0r36+2JCQk8OrVK67OaFxcHNq2bYvv378zig8INifXw8MDYmJi2Lp1K8f2BQsW4Nu3b/jzzz8Z70PQ8vLycOvWLZ4rT/G7TBg/Oxa/CkNDQzg6OmLlypVQU1PjS0xvb28sXLgQ0tLS8Pb2rvK+/JjUGh8fj23btnEsfevp6cl4KeKyGtHt27dHaGgoR4exuLgYV69exZ49e5CQkMBoP0DpQhebN29mf04YGRlh4cKFGDt2LOPYAPDq1StcuHABQUFBiIiIQJcuXdijwkyPk6amJv766y+uqwRBQUGYMWMGPn36xCi+oAdBqMaFTnijhE5fXx8JCQnQ0dGBiYkJTp48CSsrK1y8eJHrEmFdODg4wNPTE4GBgdDU1AQAfPr0CXPnzkWPHj0Yxxd0/cgVK1bAz88PHh4eHHVy586di4SEBPj4+DDeR0BAAK5du4bOnTsDAB48eICkpCS4ublxzLSv2EGuTHUjdeUxHbWLiIiAs7Mz8vPzkZeXByUlJWRkZEBaWhrNmjXjW+dXkCcgZdLS0vD27Vt27euKo4QNVVpaGubNm8e3ji/A2aEVdMWW4OBguLq6on379hypS23atMHFixfRq1evOscuqxHNYrHg4ODAdbuUlBR27tzJpPkASt+bK1aswKxZszhGTqdNm4aMjAyuK1N10aZNG7Rp0wZLly5FamoqLly4gAsXLmDZsmXQ19fHxo0b67yMfFZWFs9VOFu1aoWsrCymTUdJSQnPikJiYmICr9hDNTx05JcSOj8/P4iKimL27NkICwuDi4sLiouLUVRUhK1bt3KtXFRbSUlJ6N+/P6KioqCtrQ0Wi4XExESYmpoiKCiI8VK7u3fvxpw5czBx4kSe9SOnTp3KKL4gcnLLq2kdVhaLVeO8xOpG6spj2rGxs7ODkZERdu/eDQUFBTx//hxiYmIYM2YMPD09+VKjtbITkF27dsHT05PxCcjXr18xc+ZMnDhxgp0iICoqiuHDh+PPP//kqhrQ0EycOBHW1tZwd3cX6H4KCgp45hQzXX7Y3Nwcjo6OXCW1lixZgmvXrjE6Qfvw4QMIIexV0crnloqLi6NZs2Z8qUqip6cHb29vrpXcDh06BC8vL4HWks7Pz0dwcDDk5OTQs2fPOsXo1KkTOnXqxFWe0MPDA48fP8aDBw8YtbF///7Izs7mGgQZPXo0FBUVea4iSP26aOeXanASExPx5MkTGBgY8Cw+X1fXr1/HmzdvQAiBiYlJnT+keTl37hx8fX3Z+b2tW7fGwoUL+TLZiubkVk1BQQEPHz6EsbExFBQUcP/+fbRu3RoPHz7EuHHjGBf3BwR/AjJs2DBERkZi586d6NKlC1gsFu7duwdPT0+YmZmx65I2VPn5+Rg6dChUVVV5rnLIdPQ9JiYG7u7uuHfvHsd28t/S6EwXkpGUlMTLly95vsfMzMz4krokaJKSkoiKiuK6AhUbGwtTU1O+PIayZdbj4+Oxfft2vi6zfuvWLbi4uKBFixYc74GkpCRcvnwZ3bp1YxRf0IMgVONCO78U1cD9Cjm5gqSqqorw8HAYGRnB2NgYO3bsgKOjI968eQMLCwvk5+cz3oegT0BkZGQQHBwMGxsbju137tyBk5MTu75qQ+Xv749p06ZBSkoKysrKHCkv/JgQaG1tjSZNmmDJkiXQ0NDgSqlhepKsra2NrVu3YujQoRzbT548iQULFiAxMZFRfKB0JcLAwEDExMSAxWKhZcuWGDVqFIYMGcI4NlC6CMWoUaPwxx9/cGz38fHB33//jZcvXzKKX3GZ9ejoaOjr62PTpk149OgR42XWAeDz58/4888/OQYpZsyYwR6p5QdBDoJQjQfN+aWEojYrb/EjZ/PWrVvYsmULx2SWhQsXMh5NKI+fi2iUz7NlsVjw9/evNCe3oSsuLoafnx9OnjzJc0Ia03w+c3NzPHnyBEZGRrC3t8fKlSuRkZGBI0eOwNTUlFHsMmPGjMHu3bu5TkD27t3LuBQfACgrK/NMbWjatCkUFRUZxxe05cuXY/Xq1ViyZAnjklS8REZG4unTpzxzQvlh8uTJmDJlCt69e8eRurRx40bMnz+fUeySkhKMHDkSp06dgpGREVq1agVCCF69eoXhw4dj6NChCAwMZDyB0tvbG8OHD8ft27dhbW3NfgwhISF8uXIgyGXWCwsL0bt3b+zZs4dxVQdeioqKICkpicjISPTq1YtRDjf1i6ivgsIUVZ6uri7Hj4yMDHsRCkVFRcJisYiMjAzR09NjvK8jR46QJk2akGHDhpHt27eTbdu2kWHDhhExMTFy7NgxxvEFsYiGnZ1djX7s7e0Zt1/QVqxYQTQ0NMjmzZuJpKQkWbNmDXF3dyfKyspk+/btjOM/fvyYhIaGEkIISUtLI3369CFycnLE3NycREZGMo5PCCGzZs0i8vLypE2bNsTd3Z24u7uTNm3aEHl5eTJr1iwyd+5c9k9d7Nmzh/Ts2ZNjMYLk5GTSu3dv8tdff/HlMQiSoqIiiYuLE1h8S0tLcufOHYHFLykpIVu3biVaWlrsRSK0tLTItm3bGC/i4OvrS5SUlMjFixe5bgsKCiJKSkrEz8+P0T7KPHnyhIwePZpYWFgQc3NzMnr0aL4t5CAjI0PevXtHCCFEVlaWxMfHE0IIef/+PZGQkGAcX0VFhcTExDCOUxl9fX2+fR5QjR/t/FJCd+zYMWJtbU3evHnD3vbmzRvSrVs3cvToUcbxW7VqRbZu3cq13dfXl7Rq1Ypx/GHDhpEOHTqQ169fs7e9evWKWFpakhEjRjCO39jp6+uTS5cuEUJKvzTLOknbt28nI0eOFGbTakzQJyPt27cnsrKyRExMjBgYGBADAwMiJiZGZGVlibm5OcdPQzRnzhyydu1agcUPCQkhXbp0IWFhYSQjI4Pk5ORw/PDT169fydevX/kWz9TUlAQEBFR6u7+/P2nbti3f9icoWlpaJDw8nBDC2fk9e/Ys0dfXZxx/3rx5ZPHixYzjVGb//v2kT58+JDMzU2D7oBoPmvNLCZ2BgQFOnz7NlSbw9OlTDBkyhPEsZUHX4aX1I6smIyOD6OhotGjRAhoaGvjnn39gYWGBd+/ewdzcHDk5OXzZT3p6OrtMmLGxMVRUVPgStz7UZ3UMQZg9ezYOHz6Mdu3awczMjGvCW01L5FWmLJWiYmoA4dOEN0GSkpLC27dvK61I8eHDB7Rq1Qrfvn1jvK+SkhLExcXxrIhha2vLKPaiRYtw//59dvrGs2fPkJqaCjc3N7i5uTF+XXp4eODw4cMwNDSEpaUl1yqHTF9D5ubmiIuLQ2FhIXR0dLjiN4aFUij+oTm/lNAlJyfzXN2ouLgYqampjOMLug4vrR9ZtebNmyM5ORktWrSAoaEhrl27BgsLCzx+/BgSEhKM4+fl5cHDwwNHjhzhKBPm5uaGnTt3QlpamvE+BK2mHYfAwEDk5eVxfXEL28uXL9knr1FRUXyPHxYWxveYQM3rUTPpGElJSSE7O7vSzu/Xr18hJSVV5/hlHjx4gFGjRrFLq5XHjxOEtWvXYvz48dDS0mJPFisuLsaoUaOwfPlyRrGB0teNhYUFgNKJpOXxY0GZAQMGMI5B/TroyC8ldP369UNiYiICAgLQoUMHsFgsPHnyBJMnT4a2tjYuXLjAKL6g6/DS+pFVW7JkCeTl5fHHH3/g9OnTGDlyJHR1dZGYmIi5c+dy1VatralTp+LGjRvYtWsXrK2tAQB3797F7Nmz0atXL+zevZsfD6NBkJeXR2RkJPT19YXdlF9C+RF3QgjWr1+PadOmcS3by2RUs6x8V2Wvw2nTpiEpKQn//PNPnfcBlC6mYWRkBG9vb54VMfhVKzo+Ph4REREoKSmBubk5VwUUQfv48SM0NTUFMrESKD3BdHV1bXAnmBSfCS/jgqJKlU1SYrFYRFxcnIiLixMRERHSp08fkpqaypd9nD17llhbWxMlJSWipKRErK2tyfnz5/kSOzExkZibmxMxMTGir6/Pzte0sLAgSUlJfNnHr+T+/fvE19eXBAUF8SWesrIyCQsL49oeGhpKVFRU+LKPhqJ8rmVDMmHCBJ55srm5uWTChAl1ivn8+XNSXFzM/r2qH34RxPENDw8nYmJiZOjQoeThw4ckJyeHZGdnk/v375MhQ4YQMTExcvfuXcb7kZaWJrGxsXxoccMmJycn0PeAoONTDQMd+aUajJiYGI5FIoyMjBjHLCoqwtq1azFx4kS+pDhUhdaPFA5paWk8ffoUrVu35tj+6tUrWFlZNfgaubUhJyeH58+fN7iRX1FRUSQnJ3Mtx5yRkQF1dXUUFRXVOqaIiAhSUlLQrFkziIiIgMVicV3OB/hzSb+MoI7vuXPnMGXKFK6yfoqKitizZw8GDx7MeB8ODg5YtGgRnJycGMfihRCC06dPIywsjGdO8dmzZwWy34oE/R5oqO8xir9ozi/VYBgZGbEvofEjxwsAmjRpgs2bN2PcuHF8iVcRrR9ZM2/fvsXOnTvZdZBbtWoFDw8PGBsbM47dpUsXrFq1CocPH4akpCQA4Nu3b/D29mYvRUwJxtevX0FKqwbh33//ZR9/oDRn//Lly1wd4pp6//49eylgQS7NWx8GDhwIR0dHBAcHIzY2FkDp513v3r0Z5aS/ePGC/buHhwfmz5+PlJQUnqvsmZmZ1Xk/AODp6Ym9e/fC3t4eampqfPuMpihhoJ1fqkE4fPgwNm/ezPHFsHDhQowdO5Zx7J49e+LmzZsYP34841gVNWnSBDo6Og16trmwleX5WlpasjujDx48QNu2bXH8+HGuVbVqa9u2bejTpw+aN2+Odu3agcViITIyEhISErh27Ro/HgJVCQUFBbBYLLBYLJ5XalgsVq0qWZSno6PD8/fGSlpaGgMHDqz2fqamprh8+XKNrlS1b9+ea0R84sSJ7N/LbuPH6PjRo0dx9uxZODs7M4pDUQ0B7fxSQrd161asWLECs2bNgrW1NQghCA8Px7Rp05CRkYG5c+cyit+nTx8sXboUUVFR6NChA9dEBldXV0bxly9fjqVLl+Lo0aNcE2Wo0hJJS5cuxerVqzm2r1q1CosXL2bc+TU1NUVsbCyOHj3KTjsZMWIERo8ezZdZ9FTlwsLCQAiBg4MDzpw5w/H6FxcXh46ODt+Wpv306RPCw8N5XnKv6yqQFVeaLCoqwsGDB7nK5PFjlcmaSkhI4Fn9hpf6HBFv2rQpTQWgfhk055cSOj09PXh7e3Mt1Xvo0CF4eXkx/oCvalYwP0ZEaP3IqklLS+PFixdcpeZiY2PRrl075OfnM4q/fv16qKmpcYx4AcD+/fuRnp6OxYsXM4rfkLRt2xZXrlwReP56bRQVFWHSpElYs2aNwNp14MABTJs2DeLi4lBWVua45M5isfDu3bs6xdXT06v2Pkzi10VDzTk9dOgQrl69iv379wv1pFLQFU8a6vGn+IuO/FJCl5ycjK5du3Jt79q1K5KTkxnHF3StXVo/smp2dna4c+cOV+f37t276NatG+P4e/bswfHjx7m2t2nTBiNGjPilOr+CqKHLVJMmTXDmzBl4eXkJbB8rV67EypUrsXTpUr6WuGrsucQVxcTE4ObNmzxHx1euXMko9tChQxEYGIhmzZpBV1eXK6e4vk7yBT1ep6Ojw7NuO/VroZ1fSugMDQ1x8uRJ/PHHHxzb//7773qvIVkXDXHFLWErX5vZ1dUVixcvxtOnT9G5c2cApTm/p06dqnM+aHkpKSnQ0NDg2q6qqsqXk6f6oKioyHMCEYvFgqSkJAwNDTF+/HhMmDBBCK2rXo8ePQSWVw8A+fn5GDFihMBqu9ZUbfJx69u+ffswffp0qKioQF1dnWt0nGnnd/z48Xj69CnGjBkj0AlvcXFxiI+Ph62tLaSkpNg5y2Vev37Nt1QaXhriCSbFfzTtgRK6M2fOYPjw4ejZsyesra3Zi1CEhITg5MmTNZokUp2QkBCEhITwHBHZv38/4/gUp5p2UviRdtKyZUusWrUKY8aM4dh+5MgRrFq1ql4vWdeVn58f1q5diz59+sDKygqEEDx+/BhXr17F3Llz8f79exw5cgQ7d+7E5MmThd1cLnv27IGXlxdGjx4tkLz6RYsWQUlJCUuWLGEUh6n6uCRe133o6OhgxowZArvSISMjg+DgYNjY2AgkfmZmJoYPH47Q0FCwWCzExsZCX18f7u7uUFBQgK+vb61jVnZSyUvFMnTUr42O/FJCN3jwYDx8+BB+fn44f/48u07uo0eP2EumMuHt7Y3Vq1fD0tKS58pHdUE/VKtWn8s6T5o0CXPmzEFhYSEcHBwAlJ7sLFq0CPPnz6+3djBx9+5d+Pj4YNq0aRzb9+zZg2vXruHMmTMwMzPDjh07GmTnd/r06QBKJ69WxI8TnPXr16Nv3764evUqzzJevPb7u/ny5QvjyaNV0dbWhry8vMDiz507F02aNEFiYiJHze7hw4dj7ty5der8btu2jf17ZmYmfHx84OjoyK46c//+fQQHB2PFihWM2081LnTkl/rlaWhoYNOmTXwpm1bm0KFD7N+r+1BlWq2CqhohBEuWLMGOHTtQUFAAAJCUlMTixYsZX+qtL7KysoiMjOTKi46Li0P79u2Rm5uL+Ph4mJmZ/VKLdtTUmjVrsGrVKhgbG3NdcmexWAgNDa2XdtTHyO/x48fRv3//Wi+v6+7ujo4dO3KdQPHLP//8g507d+Kvv/6Crq4u3+Orq6sjODgY7dq14zjO79+/h6mpKXJzcxnFHzx4MOzt7TFr1iyO7bt27cKNGzdw/vx5RvGpxoV2fqkGIy0tjWdaAtPi7MrKynj06BEMDAwYxakM/VCt2sePH6GgoABZWVmO7YWFhbh//z5sbW35sp/c3FxER0dDSkoKLVu2hISEBF/i1ocWLVpg7ty5XCdKfn5+8PPzQ2JiIl68eIHevXsjJSVFSK0UHkVFRfj5+Qksp7immHR+K5ZVK1M+r9vW1haioqJ1atv69euxdetWuLi48BwdZ1quTVFREfn5+SgqKoK0tDRXfKZXuOTk5PDs2TO0bNmS4zg/fvwYTk5OyMzMZBS/shPM2NhYmJubM+5cU40L7fxSQvf06VOMGzcO0dHRXDN5+XHJdPHixZCVlRXYpS36ocpbcnIy+vfvj6dPn4LFYmH06NH4888/2Z3g1NRUaGpq0gVC8HOykrOzM6ysrMBisfDo0SNcvnwZf/31F9zd3eHr64tHjx7h77//FnZzecrLy8OtW7eQmJjIHoEvw7Tjpa6ujjt37gh9AiyTzq+enh7S09ORn58PRUVFEEKQnZ0NaWlpyMrKIi0tDfr6+ggLC6vThLqqyrbxo1xb+atdvDBdRdPFxQUWFhZYs2YN5OTk8OLFC+jo6GDEiBEoKSnB6dOnGcXX0dHBrFmzsHDhQo7tmzdvxq5du/DhwwdG8anGhXZ+KaEzMzODoaEhFi9ezHMWcV1Wd5o3bx7795KSEhw6dAhmZmYwMzPje74g/VDlbdy4cYiJicHOnTuRnZ2NpUuXghCC69evQ1FREampqdDQ0KjX/OCGLDw8HLt27cLbt29BCGEvAc2rDGBDExERAWdnZ+Tn5yMvLw9KSkrIyMiAtLQ0mjVrxrjjtX79eiQnJ1c6elpfmHR+AwMDsXfvXvj7+7OvQsXFxWHq1KmYMmUKrK2tMWLECKirqzPu6DVGr1+/hp2dHTp06IDQ0FC4urri1atXyMrKQnh4OOMrdwcPHoS7uzucnJw4Vpq8evUq/P39hX5VgapftPNLCZ2cnBwiIiK4Rk6ZsLe3r/F9w8LCGO2LfqjypqWlhXPnzsHKygoA8OPHDwwfPhwfPnxASEgICgsL6cjvL8LOzg5GRkbYvXs3FBQU8Pz5c4iJiWHMmDHw9PTEoEGDGMUfOHAgQkNDoaysjDZt2nCdwJ49e5ZR/Jqqaz4uABgYGODMmTNo3749x/aIiAgMHjwY7969w7179zB48OA6leiLjY0V+Mh4cXExzp8/j+joaLBYLJiYmMDV1bXOqRoVpaSkYPfu3Xj69ClKSkpgYWGBmTNn8ixlWBcPHz7Ejh072FcZTUxMMHv2bHTq1Ikv8anGg3Z+KaEbMGAAxo4di8GDBwu7KXVGP1S5ycrKIiIiguMLuaioCEOHDsW7d+9w9OhRtG/fnnZ+/yPojoUgKSgo4OHDhzA2NoaCggLu37+P1q1b4+HDhxg3bhzevHnDKH519Y0PHDjAKL6g83GB0pUOb9++DUtLS47tjx8/Rvfu3ZGfn4+EhAS0bdu2TqlSIiIi0NDQQPfu3dG9e3fY2dnB2Ni4zu2tKC4uDs7Ozvj06ROMjY1BCEFMTAy0tbXxzz//MB6ZTUxMhLa2Ns8qOomJiWjRogWj+BTFgVCUkKWnpxNnZ2fi5eVFTp8+TYKCgjh+mJowYQL5+vUr1/bc3FwyYcIExvEp3kxNTcnp06e5thcWFpIBAwaQFi1aEBERESG0rOGJjY0lLVu2JNLS0sTc3Jy0b9+eSEtLE2NjYxIXFyfs5lVLRUWFvH37lhBCiJGREbl69SohhJDo6GgiJSUlzKbViK6uLpGRkSEsFosoKSkRRUVFwmKxiIyMDFFTUyMsFosYGBiQxMTEOu/D2dmZWFhYkGfPnrG3PXv2jHTo0IG4uLgQQgi5cOECadu2bZ3ip6SkkOPHj5OpU6cSY2NjwmKxiLq6Ohk+fDjZvXt3ndtdpk+fPsTJyYlkZmayt2VkZBAnJyfi7OzMOL6IiAhJTU3l2p6RkcG3z4m4uDiybNkyMnLkSPa+rly5QqKiovgSn2o8aOeXErqgoCAiLy9PWCwW1w8/PvQq+1BNT08noqKijOMTQj9UeVm0aBHp3bs3z9sKCwuJq6srYbFY9dyqhknQHQtB69WrFzl27BghhJCpU6cSKysrcvToUeLo6EisrKz4tp+0tDRy584dcvfuXZKWlsa3uMePHyd2dnYcJxqxsbHEwcGBnDhxgiQlJRFra2syePDgOu8jOTmZ9OzZk7BYLCIuLk7ExcUJi8UivXr1IikpKYQQQkJDQ0lwcDDjx1PW/nHjxpEmTZrw5XNUWlqavHjxgmt7ZGQkkZGRYRyfxWLxfE4TEhKItLQ04/g3b94kUlJSpGfPnkRcXJzEx8cTQlae7KEAACKqSURBVAjZuHEjo+eVapxo55cSOh0dHTJz5kz2FwC/5OTkkOzsbMJisUhcXBzJyclh/2RlZZFDhw4RDQ0NxvuhH6q8FRYWkpycnEpvLyoqIgkJCfXYooZL0B0LQXv8+DEJDQ0lhJR2UPv06UPk5OSIubk5iYyMZBy/7CqNqKgo+8S4SZMmZOLEiSQvL49xfH19fRIREcG1/dmzZ0RPT48QQkh4eDhRV1dnvK83b96QoKAgcubMGfLmzRvG8cr8+++/5MqVK2Tx4sWkc+fORFJSkpibm5O5c+eS8+fPM46vqKhIwsPDubbfvXuXKCoq1jnu3Llzydy5c4mIiAiZOnUq+++5c+eS2bNnk06dOpGuXbsyaTohhJDOnTsTX19fQgghsrKy7M/pR48eEU1NTcbxqcaFrvBGCV1mZibmzp0LNTU1vsZVUFAAi8UCi8WCkZER1+0sFgve3t6M97NkyRL4+Phg3rx5kJOTY2+3t7fH9u3bGcdvjMpX26gOXZ0LkJCQwL///su1PTc3F+Li4kJoUe2Uz2NVVVXF5cuX+Rp/3rx5uHXrFi5evAhra2sApavizZ49G/Pnz8fu3bsZxU9OTkZRURHX9qKiInZdZU1NTZ7PUW0EBATAz88PsbGxAEqX5p4zZw4mTZrEKC5QWodXSUkJY8eOxfLly2FjY4OmTZsyjlumb9++mDJlCgICAtiTWB8+fIhp06YxWr46IiICQOliNS9fvuR4vYuLi6Ndu3ZYsGABs8YDePnyJY4fP861XVVVlXENYarxoZ1fSugGDRqEsLAwvi9CERYWBkIIHBwccObMGSgpKbFvExcXh46ODjQ1NRnvh36ociv7Qivz9OlTFBcXsyfgxMTEQFRUFB06dBBG8xocQXUs6ltaWhrevn0LFosFY2NjqKqq8iXumTNncPr0adjZ2bG3OTs7Q0pKCsOGDWPc+bW3t8fUqVPh7+/PXlI9IiIC06dPZy+Z/fLlyypr6VZnxYoV8PPzg4eHB8dKkHPnzkVCQgJ8fHwYPQYXFxfcvXsXR44cQVJSEhITE2FnZ8exVDATO3bswLhx49ClSxd2tY2ioiK4uroyOskvq7YzYcIEbN++XWBLKCsoKCA5OZnrOYyIiICWlpZA9kk1YMIeeqYoHx8foqKiQsaNG0e2bNlCtm/fzvHDVEJCAikuLuZDS3nT0tJiXw4sfznt7NmzRF9fX2D7bSx8fX1Jv379SFZWFntbVlYW6d+/P9myZYsQW9ZwfPnyhZ0DXT4fdMCAAeTLly/Cbl61cnJyyJgxY0iTJk040hJGjx5NsrOzGceXkpIir1+/5toeFRXFl3zQ+sjHVVZWJsePH+fafvz4caKsrFznuBU9f/6c7NixgwwePJg0a9aMqKmpkeHDh/MtfkxMDLlw4QIJCgoisbGxfIsraAsXLiQ2NjYkOTmZyMnJkdjYWHL37l2ir69PvLy8hN08qp7RUmeU0Al6ZaIy+fn5PFefYrp88qJFi3D//n2cOnUKRkZGePbsGVJTU+Hm5gY3NzesWrWKUfzGTktLC9euXUObNm04tkdFRaF37974/PmzkFrW8MTFxXGUy+Nn7WtBGjZsGCIjI7Fz50506dIFLBYL9+7dg6enJ8zMzHDy5ElG8Xv06AFlZWUcPnwYkpKSAIBv375h3LhxyMrKwo0bN/jxMPD27Vu8ffsWRUVFaNOmDV9LhSkqKuLRo0dctXhjYmJgZWWF7Oxsvu0rIiICYWFhCAsLw9WrV8Fisbg+9xqix48f49SpUzw/p5nWci4sLMT48eNx4sQJEELQpEkTFBcXY9SoUTh48GCjKClI8Q/t/FK/vPT0dEyYMAFXrlzheTvTOrO8PlSLioowevRo+qGK0kVMgoKC2JePy4SGhqJ///6M8ygbq18pL1pGRgbBwcGwsbHh2H7nzh04OTkhLy+PUfyoqCg4OTnh+/fvaNeuHVgsFiIjIyEpKYng4GCuE6u6EGQ+LgB4eHhATEyM67lcsGABvn37hj///JNRfD8/P9y8eRN37tzBv//+i/bt27Pr/dra2jJOJyguLsbBgwcREhKCtLQ0rpUZQ0NDGcU/ceIE3Nzc0Lt3b1y/fh29e/dGbGwsUlJSMHDgQEa1nAkhSExMhKqqKlJSUvDs2TOUlJTA3Nxc6EtmU8JBc36pX96cOXPw5csXPHjwAPb29jh37hxSU1Ph4+MDX19fxvHFxMRw7NgxrFmzBk+ePAGLxYK5uXmjGbUTtIEDB2LChAnw9fVF586dAZSugLdw4ULGK381ZhXzoivDq+h/Q6OsrMxzclXTpk2hqKjIOH7btm0RGxuLo0eP4s2bNyCEYMSIERg9ejSkpKQYxxd0Pm6ZgIAAXLt2jeN9kJSUBDc3N46Tobqc7Bw7dgx2dnaYPHkyXzq7FXl6euLgwYNwcXFB27Zt+f66XLduHfz8/DBz5kzIyclh+/bt0NPTw9SpUxmv8EYIQcuWLfHq1Su0bNmyTstTU78WOvJLCR0hBKdPn0ZYWBjPEQWml7s0NDQQFBQEKysryMvL48mTJzAyMsKFCxewadMm3L17l1F8QPCjRo1Zfn4+FixYgP3796OwsBAA0KRJE7i7u2Pz5s11WiqWalj27t2LU6dO4fDhw+yOSkpKCsaNG4dBgwZh6tSpQm5h1VRUVLBz506MHDmSY3tgYCA8PDyQkZHBeB81XXKdxWIxHkUVBBUVFRw+fBjOzs4CiS8jI4NXr15BV1cXKioqCAsLg6mpKaKjo+Hg4FCnJZ/La9OmDQICAtgnHtTvjY78UkLn6emJvXv3wt7eHmpqanwfUcjLy0OzZs0AAEpKSkhPT4eRkRFMTU3x7NkzxvHra9SosZKWlsb//vc/bN68GfHx8SCEwNDQkHZ6fyG7d+9GXFwcdHR02MvQJiYmQkJCAunp6dizZw/7vjV9z124cKHG+2daEaO4uJhr2WEA6NChA88SaHVRVtVAkLKzsxEQEMBeIrt169Zwd3fnS8kzcXFxgV7NUlJSYqdAaWlpISoqCqampsjOzkZ+fj7j+Js2bcLChQuxe/dutG3blnE8qnGjI7+U0CkpKeHo0aMCG1Ho2LEjfHx84OjoiAEDBkBeXh7r16/Hjh07cPr0acTHxzOKXx+jRhTVkNWmXnZNJ4CKiIhw/M1isVDx66rsRJlp3r6g83Hrw5MnT+Do6AgpKSlYWVmBEIInT57g27dvuHbtGiwsLBjF9/X1xbt377Br1y6BpOKMGjUKlpaWmDdvHtauXYvt27ejf//+uH79OiwsLBhfAVRUVER+fj6KioogLi7OlS6TlZXFKD7VuNDOLyV0enp6uHLlClq1aiWQ+MeOHWNPSouIiICjoyMyMjIgLi6OQ4cOYfjw4Yzi1+csbopqbIqKitCkCbOLjDdu3MDixYuxbt06jmoSy5cvx7p169CrVy9G8T08PHD48GFoa2vzzMctq2sLNNzJh926dYOhoSH27dvHPt5FRUWYNGkS3r17h9u3b9c6ZsWc/NDQUCgpKaFNmzYcxwRgnp6WlZWF79+/Q1NTEyUlJdiyZQvu3r0LQ0NDrFixgnHu+KFDh6q8fdy4cYziU40L7fxSQnfo0CFcvXoV+/fv58vklaoQQvDt2ze8efMGLVq0gIqKCuOYv8KoEUXx2+vXrxEQEICjR48iNTWVUay2bdvir7/+4llNYsqUKYiOjmYUv7Hn4wKAlJQUIiIiuAYRXr9+DUtLyzqlDkyYMKHG92VSjYGi6hvN+aWEbujQoQgMDESzZs2gq6vLNaLAj7xcfk9IKz8zm8Viwd/fv9JZ3BT1u8jNzcWJEycQEBCAx48fo3PnzliyZAnjuPHx8ZVWk0hISGAcvz7ycQVNXl4eiYmJXJ3fpKQkjmXXa6MuHdrw8HBYWlpCQkKiVv9nb2+PMWPGYMiQIXxdlpmXb9++sSfflhHUynJUw0RHfimhGzZsGMLCwjBkyBCeE96YLhJR2YS0Xbt2wdPTs04T0n6FkSKK4pe7d+/C398fZ86cgZ6eHl6/fo1bt27B2tqaL/FtbW0hJiaGo0ePclSTGDt2LAoKCnDr1i2+7KcxOnz4MIYPH46FCxfi3Llz2LJlC7p27QoWi4W7d+9i4cKFGDx4MLZt21Yv7ZGXl0dkZGSty4nNnj0bp06dQnZ2NpydnTF27Fg4OztDXFycL+3Ky8vD4sWLcfLkSZ7LzjPNG6camXpbS46iKiEtLU3u3LkjsPj1tawoRf1uNm7cSIyNjYmWlhZZsGABiYyMJIQQ0qRJE/Lq1Su+7Sc2Npa0bduWiImJEQMDA2JgYEDExMRImzZtGtUSu4IgIiJCUlNTyY8fP8js2bOJuLg4ERERISIiIkRCQoLMmTOHfP/+vd7aU36J99oqLi4mwcHBZNy4cUReXp4oKiqSyZMnk5s3bzJu14wZM0jr1q3JqVOniJSUFNm/fz9Zs2YNad68OTl69Cjj+FTjQkd+KaFr1aoVTp48yXiZ4crQCWkUJRhNmjTB4sWLsXr1ao6VDMXExPD8+XOYmJjwbV+EEFy/fp29yIWJiQl69uzZKBYBESQRERGkpKSwyznm5+dzlBSUlpau1/bIycnh+fPnjBeS+P79Oy5evIi1a9fi5cuXjEdmW7RogcOHD8POzg7y8vJ49uwZDA0NceTIEQQGBuLy5cuM4lONi0j1d6EowfL19cWiRYv4krvHy5gxY7B7926u7Xv37sXo0aMFsk+K+h2sXr0ap06dgp6eHhYvXoyoqCiB7YvFYqF3796YPXs2PD090atXr9++41um/HGQlpaGqakpzMzM6r3jyy8pKSn466+/sHHjRrx48YJnDebaysrKgp6eHoDS1Iyy0mY2NjZ1qoRBNW50whsldGPGjEF+fj4MDAwgLS3NNeGtLvUX6YQ0ihK8P/74A3/88Qdu3bqF/fv3o3PnzjAwMAAhBF++fOHrvkJCQhASEsJzFcj9+/fzdV+Nzfjx46udYMa0FJmgff36FWfOnMHx48dx8+ZN6OvrY9SoUThx4gRfFtfQ19dHQkICdHR0YGJigpMnT8LKygoXL16EgoIC8wdANSq080sJnSAmYkRERHD83aFDBwBgL2ihqqoKVVVVvHr1iu/7pqjfTffu3dG9e3fs2rULx44dw4EDB9C9e3dYWVlhyJAhHCejdeHt7Y3Vq1fD0tISGhoadMS3Ajk5OYGXiaypuj43ampqUFRUxLBhw7Bu3Tp07NiRr+2aMGECnj9/ju7du2Pp0qVwcXHBzp07UVRU1GBrN1OCQ3N+KYqiKL57+fIlAgICcPz4caSlpTGKpaGhgU2bNmHs2LF8at2vo2LOr7DVNef32rVr6NmzJ9fKfoKSmJiIJ0+ewMDAAO3atauXfVINB+38Ug1CcXExzp8/z16T3sTEBK6urhyTaCiKanwKCwvZqUympqa4fPkytLW1axVDWVkZjx49goGBgSCa2KiJiooiOTm5Xjq/RUVFuHnzJuLj4zFq1CjIycnh8+fPkJeXh6ysrMD3T1H8QtMeKKGLi4uDs7MzPn36BGNjYxBCEBMTA21tbfzzzz/0C4+iGrHyOfwJCQlciwvUxKRJk3D8+HGsWLGCn037JdTX+NWHDx/g5OSExMRE/PjxA7169YKcnBw2bdqE79+/46+//qp1TAsLC4SEhEBRURHm5uZVpkzwY7EjmjdOlaGdX0roZs+eDQMDAzx48ABKSkoAgMzMTIwZMwazZ8/GP//8I+QWUhQlTN+/f8fevXtx48YNmJmZcU2K/Z1zNsPCwtifmzVR19F3T09PWFpa4vnz51BWVmZvHzhwYJ1Xyuzfvz97ot6AAQPqFKOmaN44VR5Ne6CETkZGBg8ePICpqSnH9ufPn8Pa2hq5ublCahlFUfxU13zQqlZUpKso1k5dnwMVFRWEh4fD2NiYI0ZCQgJMTEyQn59f5zYVFxfj7t27MDMzg6KiYp3jVIXmjVPl0ZFfSugkJCTw77//cm3Pzc3l29KWFEU1XmFhYcJuwm+vpKSE50ITHz9+hJycHKPYoqKicHR0RHR0tMA6vwUFBejatatAYlOND13kghK6vn37YsqUKXj48CEIISCE4MGDB5g2bRpcXV2F3TyKohqQjx8/4tOnT8Juxm+nV69eHGUpWSwWcnNzsWrVKjg7OzOOb2pqinfv3jGOU5myvHGKAmjaA9UAZGdnY9y4cbh48SI7l6+oqAiurq44ePAgmjZtKuQWUhTFD3W95F5SUgIfHx/4+vqy06Dk5OQwf/58LFu2rN7KY/0K6vocfPr0CQ4ODhAVFUVsbCwsLS0RGxsLFRUV3L59m3G1iWvXrmHx4sVYs2YNOnToABkZGY7b5eXlax2zfH3pkpISHDp0CGZmZjRvnKKdX6rhiIuLQ3R0NAghMDEx4cuqPhRFNRzHjx9H//79uTo21Vm6dCkCAgLg7e0Na2trEEIQHh4OLy8vTJ48GWvXrhVQi389de38AsC3b99w4sQJPH36FCUlJbCwsMDo0aP5ssBG+ROY8pPRCCFgsVg8Uy6qU1WueHk0b/z3Qzu/FEVRFCM7duzguZ3FYkFSUhKGhoawtbWtc91uTU1N/PXXX1xpUEFBQZgxYwZNg6iFunR+CwsLYWxsjEuXLsHExEQg7bp161aVt3fv3l0g+6V+T3TCGyV0Q4YMgaWlJZYsWcKxffPmzXj06BFOnTolpJZRFFUTfn5+SE9PR35+PhQVFUEIQXZ2NqSlpSErK4u0tDTo6+sjLCys1iW2ACArKwutWrXi2t6qVStkZWXx4yH8Nvbs2QM1NbVa/Y+YmBh+/PghsPJghBBoamqisLAQRkZGaNJE8F2TDx8+IC8vD61ataJpM78hOvJLCZ2qqipCQ0O5Sp29fPkSPXv2RGpqqpBaRlFUTQQGBmLv3r3w9/dnL0oTFxeHqVOnYsqUKbC2tsaIESOgrq6O06dP1zp+p06d0KlTJ64RZg8PDzx+/BgPHjzgy+NozAQ9+r5hwwa8efMG/v7+fO2cJiQkoH///oiKigIAaGtr4+zZs7CwsOBL/EOHDuHLly+YM2cOe9uUKVMQEBAAADA2NkZwcHCdTsqoxot2fimhk5KSQmRkJIyNjTm2v3nzBubm5vj27ZuQWkZRVE0YGBjgzJkzaN++Pcf2iIgIDB48GO/evcO9e/cwePBgJCcn1zr+rVu34OLighYtWqBLly5gsVi4d+8ekpKScPnyZXTr1o1Pj6Tx0tPTE+jo+8CBAxESEgJZWVmYmppy5W2fPXu2Tu0ePnw4IiMjsWrVKkhKSmLz5s0oLi7Go0eP6hSvoi5dumDKlCmYMGECAODq1avo168fDh48iNatW2PWrFkwMTGBv78/X/ZHNQ50rJ8SurZt2+Lvv//m2n7ixAmB5ZdRFMU/ycnJKCoq4tpeVFSElJQUAKV5u7zqeddE9+7dERMTg4EDByI7OxtZWVkYNGgQ3r59Szu+/1m3bh06duyI2NhYZGZmIisrCzExMejUqRO2b9+OxMREqKurY+7cuXWKr6CggMGDB8PR0RGamppo2rQpx09d3blzB3v37sWoUaMwaNAgnDp1Ck+fPuXboEdMTAwsLS3ZfwcFBcHV1RWjR4+GhYUF1q1bh5CQEL7si2o86MgvJXQXLlzA4MGDMWrUKDg4OAAoXYM9MDAQp06dEviylxRFMePi4oKUlBT4+/vD3NwcQOmo7+TJk6Guro5Lly7h4sWL+OOPP/Dy5Usht/bXJOjRd0ERERFBcnIyRx6yrKwsoqKioKuryzi+tLQ0oqOjoaOjAwBo164dJk6cCE9PTwBAYmIijI2N6RXG3wwd+aWEztXVFefPn0dcXBxmzJiB+fPn4+PHj7hx4wbt+FJUIxAQEAAlJSV06NABEhISkJCQQIcOHaCkpMTOrZSVlYWvr2+t4sbGxmLkyJH4+vUr1205OTkYNWqUQBdGaEwEPfouKCwWi2vCmYiICPg1Lqejo4OnT58CADIyMvDq1SvY2Niwb09JSaG15H9DtNoD1SC4uLjAxcVF2M2gKKoO1NXVcf36dbx9+xZv375FUVER2rRpw5HHX9Oaq+Vt3rwZ2traPBc4aNq0KbS1tbF582bs3r2bUft/Bfb29pg6dSrX6Pv06dPZV9RevnwJPT29Gse0sLBASEgIFBUVYW5uXmW1h2fPntWp3YQQGBkZccTOzc2Fubk5R6e4rlU93NzcMHPmTLx69QqhoaFo1aoVOnTowL793r17aNu2bZ1iU40X7fxSQvf48WOUlJSgU6dOHNsfPnwIUVFRjnwtiqIapoCAAPj5+SE2NhYA0LJlS8yZMweTJk2qc8zbt2/jyJEjld4+bNgwjBo1qs7xfyUBAQEYO3YsOnTowF69rLCwED179qzz6Hv//v0hISHB/l0Qpc4OHDjA95jlLV68GPn5+Th79izU1dW5SmeGh4dj5MiRAm0D1fDQnF9K6KysrLBo0SIMGTKEY/vZs2exceNGPHz4UEgtoyiqJlasWAE/Pz94eHigS5cuAID79+9j165d8PT0hI+PT53iSklJ4c2bN+x8zYo+fPiA1q1bIz8/v85t/9VUNfr+KwgMDISrq2utVwlsKPGphoF2fimhk5WVxYsXL7hWHHr//j3MzMwaXI4aRVGcVFRUsHPnTq4RtMDAQHh4eCAjI6NOcdXV1XH8+HH2ZfuKQkJCMHr0aHZO6+9OEKPvZfT19fH48WMoKytzbM/OzoaFhUW95V7Ly8sjMjKyTsszN4T4VMNAJ7xRQichIcFzIYvk5OR6WemHoihmiouLeaYndejQgeckrJqytbXFzp07K719x44dtNTZf1asWAFPT0/069cPp06dwqlTp9CvXz/MnTsXy5cvZxw/ISEBxcXFXNt//PiBjx8/Mo5fU4Ier6Pjgb8H2rOghK5Xr15YunQpgoKC2LNus7Oz8ccff6BXr15Cbh1FUdUZM2YMdu/eja1bt3Js37t3L0aPHl3nuEuXLkWXLl0wZMgQLFq0iH0J/82bN9i0aROCg4Nx7949Rm3/VezevRv79u3jGH13dXWFmZkZPDw86px6cuHCBfbvwcHBHJURiouLERISUqtJdBTVENC0B0roPn36BFtbW2RmZrJnKUdGRkJNTQ3Xr1+ny05SVAPn4eGBw4cPQ1tbG507dwYAPHjwAElJSXBzc2NPwALA1UGuzqVLlzBx4kRkZmZybFdWVoa/vz9cXV2ZP4BfgKKiIh49eoSWLVtybI+JiYGVlRWys7PrFLes4gKLxeIaFRUTE4Ouri58fX3Rt2/fOsWvLTk5OTx//lxgaQmCjk81DLTzSzUIeXl5OHbsGJ4/fw4pKSmYmZlh5MiRHF+aFEU1TDUtY8ZisRAaGlrr+N++fcPVq1cRFxfHLo3Vu3dvSEtL1zrWr8rDwwNiYmJcJxcLFizAt2/f8OeffzKKr6enh8ePH0NFRYVRHKZo55fiB9r5pRqM169fIzExEQUFBRzb6cgORVE1YWpqisuXL/+WV4sEOfrekNDOL8UPNOeXErp3795h4MCBePnyJfvSWvl6krwmWVAURVWUkJCAwsJCYTdDKKKiomBhYQEAiI+PBwCoqqpCVVUVUVFR7PsxqdUbEhKCkJAQpKWloaSkhOO2/fv31zlubejo6Aj0iqCg41MNA+38UkLn6ekJPT093LhxA/r6+nj48CGysrIwf/58bNmyRdjNoyiKavDCwsIEGt/b2xurV6+GpaUlNDQ0+L7gRU1LqZXvyDek+FTjQju/lNDdv38foaGhUFVVhYiICERFRWFjY4P169dj9uzZiIiIEHYTKYqifmt//fUXDh48iLFjxwokflWl1D59+tTg41ONC+38UkJXXFwMWVlZAKXF8j9//gxjY2Po6Ojg7du3Qm4dRVEUVVBQgK5du/I9bk1Kqenq6jbY+FTjRDu/lNC1bduWvcJbp06dsGnTJoiLi2Pv3r100gFFUVQDMGnSJBw/fhwrVqzga9wBAwawfx83bhzHbeVLqTXU+FTjRDu/lNAtX74ceXl5AAAfHx/07dsX3bp1g7KyMv7++28ht46iKIr6/v079u7dixs3bsDMzIxrUlhdK0iUlJSgoKAARkZGOHr0KGxsbPjR3HqLTzVOtPNLCZ2joyP7d319fbx+/RpZWVlQVFTk+6QKiqJ+XXv27IGampqwm/FLevHiBdq3bw+Ae1IY089pcXFx5OXlCey5E3R8qvGhdX4piqKoBm3Hjh08t7NYLEhKSsLQ0BC2trYQFRWt55ZR/DJ//nyIiYlhw4YNjTI+1bjQkV+KoiiqQfPz80N6ejry8/OhqKgIQgiys7MhLS0NWVlZpKWlQV9fH2FhYb/lAhfClpaWhmbNmjGKUVBQAH9/f1y/fh2WlpaQkZHhuJ3pwhyCjk81LnTkl6IoimrQAgMDsXfvXvj7+8PAwAAAEBcXh6lTp2LKlCmwtrbGiBEjoK6ujtOnTwu5tb8WaWlpfPjwAaqqqgAAJycnHDhwABoaGgCA1NRUaGpqMl6MqKolsuu6LHZ9xqcaF9r5pSiKoho0AwMDnDlzhp1zWiYiIgKDBw/Gu3fvcO/ePQwePBjJycnCaeQvSkREBCkpKeyR3YrL/6ampkJDQ4NrxTeKashEhN0AiqIoiqpKcnIyioqKuLYXFRUhJSUFAKCpqYl///23vptGgfmEN4qqb7TzS1EURTVo9vb2mDp1KsdqjxEREZg+fTocHBwAAC9fvoSenp6wmkhRVCNCO78URVFUgxYQEAAlJSV06NABEhISkJCQQIcOHaCkpISAgAAAgKysLF2sQABYLBbHyG7FvymqMaI5vxRFUVSj8PbtW7x9+xZFRUVo06YNjI2Nhd2kX56IiAiaNm3K7vBmZ2dDXl4eIiKlY2eEEHz9+pXxhDeKqk+01BlFURTV4AUEBMDPzw+xsbEAgJYtW2LOnDmYNGmSkFv2aztw4ICwm0BRfEdHfimKoqgGbcWKFfDz84OHhwe6dOkCALh//z527doFT09P+Pj4CLmFVJnAwEC4urpy1dGlqIaEdn4piqKoBk1FRQU7d+7EyJEjObYHBgbCw8MDGRkZQmoZVZG8vDwiIyPZpdAoqiGiE94oiqKoBq24uBiWlpZc2zt06MCzBBolPHQ8jWoMaOeXoiiKatDGjBmD3bt3c23fu3cvRo8eLYQWURTVmNEJbxRFUVSDFxAQgGvXrqFz584AgAcPHiApKQlubm6YN28e+35bt24VVhMpimokaOeXoiiKatCioqJgYWEBAIiPjwcAqKqqQlVVFVFRUez70fqzFEXVBO38UhRFUQ1aWFiYsJtAUdQvhOb8UhRFURTFFzo6OhATExN2MyiqSrTzS1EURVFUlfT19ZGZmcm1PTs7m6OsWVRUFLS1teuzaRRVa7TzS1EURVFUlRISEnguYfzjxw98+vRJCC2iqLqjOb8URVEURfF04cIF9u/BwcFo2rQp++/i4mKEhIRAV1dXCC2jqLqjK7xRFEVRFMWTiEjlF4jFxMSgq6sLX19f9O3btx5bRVHM0M4vRVEURVGVKigogJGREY4ePQobGxthN4eiGKM5vxRFURRFVUpcXBx5eXlQU1MTdlMoii9o55eiKIqiqCq5ubkhICBA2M2gKL6gE94oiqIoiqpSQUEB/P39cf36dVhaWkJGRobjdrqsNNWY0M4vRVEURVFVKr/EdExMDMdtdFlpqrGhE94oiqIoiqKo3wbN+aUoiqIoiqJ+G7TzS1EURVEURf02aOeXoiiKoiiK+m3Qzi9FURRFURT126CdX4qiKIqiKOq3QTu/FEVRFEVR1G+Ddn4piqIoiqKo3wbt/FIURVEURVG/jf8D7kaHBnQKmHwAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(filename='corr_matrix.png') "
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "2d1ddb0b",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" X | \n",
" Y | \n",
" r | \n",
" p-unc | \n",
"
\n",
" \n",
" \n",
" \n",
" 115 | \n",
" log_price | \n",
" rt_Private_room | \n",
" -0.525523 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" 116 | \n",
" log_price | \n",
" rt_Shared_room | \n",
" -0.277179 | \n",
" 3.452531e-108 | \n",
"
\n",
" \n",
" 109 | \n",
" log_price | \n",
" pg_Apartment | \n",
" -0.140333 | \n",
" 3.004493e-28 | \n",
"
\n",
" \n",
" 113 | \n",
" log_price | \n",
" pg_Townhouse | \n",
" 0.005033 | \n",
" 6.940470e-01 | \n",
"
\n",
" \n",
" 108 | \n",
" log_price | \n",
" id | \n",
" 0.015802 | \n",
" 2.168407e-01 | \n",
"
\n",
" \n",
" 65 | \n",
" pool | \n",
" log_price | \n",
" 0.018576 | \n",
" 1.465442e-01 | \n",
"
\n",
" \n",
" 112 | \n",
" log_price | \n",
" pg_Other | \n",
" 0.031385 | \n",
" 1.415184e-02 | \n",
"
\n",
" \n",
" 111 | \n",
" log_price | \n",
" pg_House | \n",
" 0.073500 | \n",
" 8.828480e-09 | \n",
"
\n",
" \n",
" 110 | \n",
" log_price | \n",
" pg_Condominium | \n",
" 0.074952 | \n",
" 4.469152e-09 | \n",
"
\n",
" \n",
" 77 | \n",
" d2balboa | \n",
" log_price | \n",
" 0.132289 | \n",
" 2.927701e-25 | \n",
"
\n",
" \n",
" 88 | \n",
" coastal | \n",
" log_price | \n",
" 0.332528 | \n",
" 1.165628e-157 | \n",
"
\n",
" \n",
" 52 | \n",
" beds | \n",
" log_price | \n",
" 0.597273 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" 23 | \n",
" bathrooms | \n",
" log_price | \n",
" 0.605840 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" 114 | \n",
" log_price | \n",
" rt_Entire_home/apt | \n",
" 0.610318 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" 38 | \n",
" bedrooms | \n",
" log_price | \n",
" 0.670055 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" 7 | \n",
" accommodates | \n",
" log_price | \n",
" 0.727280 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" 98 | \n",
" price | \n",
" log_price | \n",
" 0.789370 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" X Y r p-unc\n",
"115 log_price rt_Private_room -0.525523 0.000000e+00\n",
"116 log_price rt_Shared_room -0.277179 3.452531e-108\n",
"109 log_price pg_Apartment -0.140333 3.004493e-28\n",
"113 log_price pg_Townhouse 0.005033 6.940470e-01\n",
"108 log_price id 0.015802 2.168407e-01\n",
"65 pool log_price 0.018576 1.465442e-01\n",
"112 log_price pg_Other 0.031385 1.415184e-02\n",
"111 log_price pg_House 0.073500 8.828480e-09\n",
"110 log_price pg_Condominium 0.074952 4.469152e-09\n",
"77 d2balboa log_price 0.132289 2.927701e-25\n",
"88 coastal log_price 0.332528 1.165628e-157\n",
"52 beds log_price 0.597273 0.000000e+00\n",
"23 bathrooms log_price 0.605840 0.000000e+00\n",
"114 log_price rt_Entire_home/apt 0.610318 0.000000e+00\n",
"38 bedrooms log_price 0.670055 0.000000e+00\n",
"7 accommodates log_price 0.727280 0.000000e+00\n",
"98 price log_price 0.789370 0.000000e+00"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# now the same with the table \n",
"db_corr = pg.pairwise_corr(db, method='pearson').sort_values(by='r')\n",
"db_corr.loc[(db_corr.X == 'log_price')|(db_corr.Y == 'log_price'), ['X', 'Y', 'r', 'p-unc']]"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "0dc5464b",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots() \n",
"sns.scatterplot(data=db, x='log_price', y='accommodates', ax=ax, \n",
" hue='rt_Entire_home/apt', alpha=.5, s=15, \n",
" style='rt_Private_room');"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "30bc5e1b",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots() \n",
"sns.regplot(data=db, x='log_price', y='accommodates', ax=ax);"
]
},
{
"cell_type": "markdown",
"id": "a7815f62",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Regression \n",
"\n",
"> Finding the best fitting line for the set of points (2d case) - GEOMETRIC SENSE!\n",
"\n",
"#### Regression implies modeling **dependent** variable (outcome) using one or more **independent** variables (predictors) "
]
},
{
"cell_type": "markdown",
"id": "4a47bc44",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# The Modeling (statistical) Framework \n",
"\n",
"* outcome - price of AirBnb in San Diego, predictors - # of bedrooms, bathrooms, type of property, etc. \n",
"\n",
"> We are trying to explain 'variance' in the outcome by 'variance' in predictors"
]
},
{
"cell_type": "markdown",
"id": "d8303442",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Combining statistical + geometric framework \n",
"\n",
"$$\n",
"\\hat{Y_i} = b_0 + b_1 X_i + \\epsilon_i\n",
"$$\n",
"\n",
"where $\\hat{Y_i}$ denotes our prediction (line), $X_i$ predictor variable value for $i$th observations, $\\beta_0$ is the intercept, and $\\beta_1$ is the regression coefficient. And $\\epsilon_i = \\hat{Y_i} - Y_i$ (residuals/errors = predicted - actual values). "
]
},
{
"cell_type": "markdown",
"id": "a73c5a05",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
""
]
},
{
"cell_type": "markdown",
"id": "be02d9ad",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Geometry + Optimization\n",
"\n",
"* We want our combined $\\epsilon$ (error/residuals) to be as small as possible. \n",
"\n",
"> The estimated regression coefficients $\\hat{\\beta_0}$ and $\\hat{\\beta_1}$ are those that **minimise the sum of the squared residuals** \n",
"\n",
"$$\n",
"\\sum_i (Y_i - \\hat{Y}_i)^2\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "5bd268cb",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" names | \n",
" coef | \n",
" se | \n",
" T | \n",
" pval | \n",
" r2 | \n",
" adj_r2 | \n",
" CI[2.5%] | \n",
" CI[97.5%] | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Intercept | \n",
" 4.123498 | \n",
" 0.012696 | \n",
" 324.794585 | \n",
" 0.0 | \n",
" 0.528936 | \n",
" 0.528859 | \n",
" 4.098610 | \n",
" 4.148386 | \n",
"
\n",
" \n",
" 1 | \n",
" accommodates | \n",
" 0.206661 | \n",
" 0.002495 | \n",
" 82.815413 | \n",
" 0.0 | \n",
" 0.528936 | \n",
" 0.528859 | \n",
" 0.201769 | \n",
" 0.211553 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" names coef se T pval r2 adj_r2 \\\n",
"0 Intercept 4.123498 0.012696 324.794585 0.0 0.528936 0.528859 \n",
"1 accommodates 0.206661 0.002495 82.815413 0.0 0.528936 0.528859 \n",
"\n",
" CI[2.5%] CI[97.5%] \n",
"0 4.098610 4.148386 \n",
"1 0.201769 0.211553 "
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mod1 = pg.linear_regression(db['accommodates'], db['log_price'])\n",
"mod1"
]
},
{
"cell_type": "code",
"execution_count": 71,
"id": "86278338",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(data=db, x='price', y='log_price');"
]
},
{
"cell_type": "markdown",
"id": "2170dc58",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Understanding Regression Equation \n",
"\n",
"$$\n",
"\\hat{Y}_i = b_0 + b_1 X_i = 4.1 + 0.2 \\ X_i \n",
"$$\n",
"\n",
"> For 1-unit increase in the number of people that the Airbnb property accommodates, we expect the log(price) to go up by .2\n",
"\n",
"> The expected value of $\\hat{Y_i}$ when $X_i = 0$ is 4.1"
]
},
{
"cell_type": "markdown",
"id": "5e0637f2",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Caution ⚠️\n",
"\n",
"#### Order in regression matters (typically, predictor goes first and outcome goes second)! We are modeling the log(price) as a function of the number of people that the apartment from the listing can accommodate. "
]
},
{
"cell_type": "markdown",
"id": "6c13dd61",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Multiple Regression\n",
"\n",
"* Adding terms to our equations (from *bivariate* to *multivariate*) \n",
"\n",
"$$\n",
"Y_i = b_2 X_{i2} + b_1 X_{i1} + b_0 + \\epsilon_i\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "3fe5ce9f",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" names | \n",
" coef | \n",
" se | \n",
" T | \n",
" pval | \n",
" r2 | \n",
" adj_r2 | \n",
" CI[2.5%] | \n",
" CI[97.5%] | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Intercept | \n",
" 4.10 | \n",
" 0.01 | \n",
" 323.10 | \n",
" 0.0 | \n",
" 0.54 | \n",
" 0.54 | \n",
" 4.07 | \n",
" 4.12 | \n",
"
\n",
" \n",
" 1 | \n",
" accommodates | \n",
" 0.16 | \n",
" 0.00 | \n",
" 35.33 | \n",
" 0.0 | \n",
" 0.54 | \n",
" 0.54 | \n",
" 0.15 | \n",
" 0.17 | \n",
"
\n",
" \n",
" 2 | \n",
" bedrooms | \n",
" 0.15 | \n",
" 0.01 | \n",
" 13.44 | \n",
" 0.0 | \n",
" 0.54 | \n",
" 0.54 | \n",
" 0.13 | \n",
" 0.17 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" names coef se T pval r2 adj_r2 CI[2.5%] CI[97.5%]\n",
"0 Intercept 4.10 0.01 323.10 0.0 0.54 0.54 4.07 4.12\n",
"1 accommodates 0.16 0.00 35.33 0.0 0.54 0.54 0.15 0.17\n",
"2 bedrooms 0.15 0.01 13.44 0.0 0.54 0.54 0.13 0.17"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mod2 = pg.linear_regression(db[['accommodates', 'bedrooms']], db['log_price'])\n",
"mod2.round(2)"
]
},
{
"cell_type": "markdown",
"id": "f4c80d3b",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Regression Equation\n",
"\n",
"$$\n",
"\\hat{Y}_i = 4.10 + 0.16 \\ X_{i1} + 0.15 \\ X_{i2} \n",
"$$\n"
]
},
{
"cell_type": "markdown",
"id": "2ebec715",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Multivariate (general) Case\n",
"\n",
"$$\n",
"Y_i = \\left( \\sum_{k=1}^K b_{k} X_{ik} \\right) + b_0 + \\epsilon_i\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "e61a54f7",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Quantifying the Fit of the Regression \n",
"\n",
"$$\n",
"\\mbox{SS}_{res} = \\sum_i (Y_i - \\hat{Y}_i)^2 \\quad \\text{sum of squared residuals}\n",
"$$\n",
"\n",
"$$\n",
"\\mbox{SS}_{tot} = \\sum_i (Y_i - \\bar{Y})^2 \\quad \\text{total variability}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "d7918696",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"0 5.156802\n",
"1 5.363463\n",
"2 4.536820\n",
"3 4.536820\n",
"4 4.536820\n",
" ... \n",
"6105 4.536820\n",
"6106 5.363463\n",
"6107 4.330159\n",
"6108 4.743481\n",
"6109 4.743481\n",
"Name: accommodates, Length: 6110, dtype: float64"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# calculate \n",
"Y_pred = mod1.loc[mod1.names=='Intercept','coef'].values + db['accommodates'] \\\n",
" * mod1.loc[mod1.names=='accommodates','coef'].values\n",
"Y_pred"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "7cf4ef26",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Squared residuals: 1875.0601303913895\n",
"total variation: 3980.4790154915463\n"
]
}
],
"source": [
"SS_resid = sum( (db.log_price - Y_pred)**2 )\n",
"SS_tot = sum( (db.log_price - np.mean(db.log_price))**2 )\n",
"print(f'Squared residuals: {SS_resid}')\n",
"print(f'total variation: {SS_tot}')"
]
},
{
"cell_type": "markdown",
"id": "0f99f1ec",
"metadata": {},
"source": [
"# Making Fit Interpretable - R-squared\n",
"\n",
"* Get standardized value (something similar to (auto)correlation coefficient)\n",
"* Make standardize value meaningful (good/bad) fit: +1 (good fit), 0 (no fit) \n",
"\n",
"$$\n",
"R^2 = 1 - \\frac{SS_{res}}{SS_{tot}}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "e704c56d",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"0.5289360594305659"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"R2 = 1- (SS_resid / SS_tot)\n",
"R2"
]
},
{
"cell_type": "markdown",
"id": "124accb7",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Interpreting R-squared\n",
"\n",
"> $R^2$ is the proportion of the variance in the outcome variable that can be accounted for by the predictor. The number of people accommodated per listing explains 52.9% of the variation in the price of the listing. "
]
},
{
"cell_type": "markdown",
"id": "06150a51",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Adjusted R-squared \n",
"\n",
"* Adding variables to the model will always increase $R^2$! BUT, we need to take degrees of freedom into account! \n",
"* The adjusted value will only increase if the new variables improve the model performance more than you’d expect by chance. \n",
"* We loose elegant interpretation about explained variability!\n",
"\n",
"$$\n",
"\\mbox{adj. } R^2 = 1 - \\left(\\frac{\\mbox{SS}_{res}}{\\mbox{SS}_{tot}} \\times \\frac{N-1}{N-K-1} \\right)\n",
"$$\n",
"\n",
"where $N$ - is the number of observations, $K$ - number of predictors"
]
},
{
"cell_type": "markdown",
"id": "5a2ade6e",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Correlation and Regression Connection \n",
"\n",
"> $R^2$ is the same as $r_p$"
]
},
{
"cell_type": "markdown",
"id": "2e3d60ff",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Running regression with all predictors"
]
},
{
"cell_type": "code",
"execution_count": 98,
"id": "3d194044",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"from pysal.model import spreg\n",
"\n",
"# Fit OLS model\n",
"m1 = spreg.OLS(\n",
" # Dependent variable\n",
" db[[\"log_price\"]].values,\n",
" # Independent variables\n",
" db[variable_names].values,\n",
" # Dependent variable name\n",
" name_y=\"log_price\",\n",
" # Independent variable name\n",
" name_x=variable_names,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 100,
"id": "07b1c8d1",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"with open('reg1.txt', 'w') as f:\n",
" print(m1.summary, file=f) # Python 3.x"
]
},
{
"cell_type": "code",
"execution_count": 102,
"id": "fa1c479c",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.6683445024123358\n",
"0.667800715729949\n"
]
}
],
"source": [
"print(m1.r2)\n",
"print(m1.ar2)"
]
},
{
"cell_type": "markdown",
"id": "16b7d1d8",
"metadata": {},
"source": [
"# Hypothesis Testing and Regression \n",
"\n",
"* $H_0$: $H_0: Y_i = b_0 + \\epsilon_i$ (there is no relationship)\n",
"* $H_a$: $H_1: Y_i = \\left( \\sum_{k=1}^K b_{k} X_{ik} \\right) + b_0 + \\epsilon_i$ (our proposed model is valid) "
]
},
{
"cell_type": "markdown",
"id": "685aee26",
"metadata": {},
"source": [
"# Hypothesis Testing (Calculation) \n",
"\n",
"$$\n",
"\\mbox{SS}_{mod} = \\mbox{SS}_{tot} - \\mbox{SS}_{res}\n",
"$$\n",
"\n",
"$$\n",
"\\begin{split}\n",
"\\begin{array}{rcl}\n",
"\\mbox{MS}_{mod} &=& \\displaystyle\\frac{\\mbox{SS}_{mod} }{df_{mod}} \\\\ \\\\\n",
"\\mbox{MS}_{res} &=& \\displaystyle\\frac{\\mbox{SS}_{res} }{df_{res} }\n",
"\\end{array}\n",
"\\end{split}\n",
"$$\n",
"\n",
"where $df_{res} = N -K - 1$"
]
},
{
"cell_type": "markdown",
"id": "d1f102f0",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Hypothesis Testing (Calculation) \n",
"\n",
"$$\n",
"F = \\frac{\\mbox{MS}_{mod}}{\\mbox{MS}_{res}}\n",
"$$\n",
"\n",
"> Pingouin cannot calculate $F$ statistic. Instead we can use the summary table from spreg. "
]
},
{
"cell_type": "markdown",
"id": "07b88344",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Other Hypothesis Tests (not covered in class) \n",
"\n",
"* Test for individual coefficients \n",
"* Testing significance of correlation (both single and all pairwise) \n",
"\n",
"### See [this tutorial](https://ethanweed.github.io/pythonbook/05.04-regression.html#linear-regression-with-python) for more details"
]
},
{
"cell_type": "markdown",
"id": "20db5dc1",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Assumptions of the regression \n",
"\n",
"* **Normality**. Standard linear regression relies on an assumption of normality. Specifically, it assumes that the residuals are normally distributed. It’s actually okay if the predictors and the outcome are non-normal, so long as the residuals are normal.\n",
"* **Linearity**. Relationship between $X$ and $Y$ are assumed linear! Regardless of whether it’s a simple regression or a multiple regression, we assume that the relatiships involved are linear.\n",
"* **Homogeneity of variance**. Each residual is generated from a normal distribution with mean 0, and with a standard deviation that is the same for every single residual. Standard deviation of the residual should be the same for all values of $\\hat{Y_i}$."
]
},
{
"cell_type": "markdown",
"id": "8db5a7ef",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Assumptions of the regression 2\n",
"\n",
"* **Uncorrelated predictors**. We don’t want predictors to be too strongly correlated with each other. Predictors that are too strongly correlated with each other (referred to as “collinearity”) can cause problems when evaluating the model\n",
"* **Residuals are independent of each other**. Check residuals for irregularity in variance. Some irregularity would normally point to the omitted variable or OMITTED GEOGRAPHIC EFFECT!. \n",
"* **Outliers**. Implicit assumption that regression model should not be too strongly influenced by one or two anomalous data points; since this raises questions about the adequacy of the model, and the trustworthiness of the data in some cases."
]
},
{
"cell_type": "markdown",
"id": "e5aa0661",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Questions? "
]
}
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